(a) Fit a quadratic parabola to the following series of observations taking the years as independent variable. 1924 192719301933|1936|19391942 Years Index of coal prices 187 142 133 129|136| 169|279 Use your results to estimate the value of the index for 1935.

Q: Find a formula for the parabola shown below. 3- 2 (-1,0)|| (7,0) 5 4 -3 -2 1 1- 4 5 8 -3 40 (0, -4}…

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Q: Graph the parabola from Part 1. 22--20y

A: Given:        x2 = -2y This is the parabola with vertex at (h,k) = (0,0), and focal length |p| = 5…

Q: Determine the equation of the parabola whose graph is given below. 5 4 3 -7 -6 –5 –4 -3 -2 1 2 3 5 6…

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Q: (a) Suppose that a > and that the parabola with equation y = ax? +2 has vertex V. The parabola…

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Q: 1. What is the vertex of the parabola y = (x + 6)² - 9? O(-6,9) (6,9) O (-6,-9) (6,-9)

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Q: 3) Fit a parabola to the data. X 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 y 3.1950 3.2299 3.2532 3.2611…

A: Given : x y 0 3.195 0.1 3.2299 0.2 3.2532 0.3 3.2611 0.4 3.2516 0.5 3.2282 0.6…

Q: Determine the axis of symmetry of the graph of the following parabola. f(x) = 2x² + 16x + 33

A: f(x)=2x2+16x+33

Q: 3. A quadratic function will produce a parabola as a graph because A quadratic function will produce…

A: A quadratic function will produce a parabola as a graph

Q: Find the largest area (sq. units) of the rectangle whose base is on the x-axis and its other two…

A: NOTE: Refresh your page if you can't see any equations. . width of the rectangle is  and the length…

Q: parabola

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Q: 4. What do the parabolas Ax) = 2(x + 8)(x - 1) and g(x) = - (x + 8)(x – 1) have in common? a. They…

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Q: 3) Fit a parabola to the data. X 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 y 3.1950 3.2299 3.2532 3.2611…

A: The equation of a parabola is y=a+bx+cx2. The method of least square can be used to obtain the best…

Q: 4.The parabola opens O A. upward O B. forward O C. backward O D. downward

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Q: 28. Graph the quadratic (parabola). y = -x2 + x+ 6

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Q: Fit a second degree parabola to the followng aata : 1 2 3 4 1 1.8 1.3 2 6.3

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Q: Draw the graph of a parabola that matches the given description. f(x)=ax2+bx+c, a>0;b2-4ac>0

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Q: 11.(T) A parabola has a y-intercept of -4 and passes through points (-2, 8) and (1, -1). Determine…

A: find the vertex of a parabola, you first need to find x (or y, if your parabola is sideways) through…

Q: 3. Andre Compa's production volume for the last 6 years is shown as follows: Year Production (Unit)…

A: a) The given data gives the following graph and trend: Thus, the required equation is…

Q: The rectangle shown here has one side on the positive y-axis, one side on the positive x-axis, and…

A: Given that the rectangle shown here has one side on the positive y-axis,one side on the positive…

Q: Determine the equation of the parabola graphed below. 5 4 3 2 1 0 1 2 3 4 5 6 7

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Q: The vertical line passing through the vertex of a parabola iscalled the_________

A: Solution:GivenThe vertical line passing through the vertex of a parabola is called the ...........

Q: 17. The equation of the parabola is x² + 14x + 16y + 1 = 0. Solve the following. pranaara Tomuror…

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Q: 16. What is the equation, in standard form, of a parabola that models the values in the table? -1…

A: Topic = Quadratic equation Standard form of parabola  equation is  y=ax2+bx+c

Q: We know that the graph of the quadratic function f(x) = (x -m)(x - n) is a parabola. Sketch a rough…

A: Given that the graph of the quadratic function fx=x-mx-n Sketching the rough graph of given…

Q: 13.The axis of symmetry of the parabola is O A. X = 4 O B. x = -16 O C. x = 16 O D. x = -4

A: The given equation of parabola is: f(x)=-(x+4)2+16

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Sketch the graphs of the following cubic equations onto graph paper. (x) - х' - Зx? -6х +8 b (x) -…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Consider the sketch graphs (a – f) above and answer the following questions: (i) What conclusion can…

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Q: 5. Find the equation of the following parabola in standard form: f(x) =

A: Given: From the given graph of the parabola, it intersects the x-axis at x=1 & x=3, so it has…

Q: Which is an equation of the parabola graphed in the accompanying diagram? A y=x +4 © y= -x² + 4 B y=…

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Q: Let f (x) = 1x² +6x+8. Find the x-coordinate for the parabola's vertex. Round your answer to the…

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Q: Fit a second degree parabola in the following data: 1.0 4.0 2.0 3.0 17.0 0.0 4.0 1.0 10.0 30.0

A: The second degree parabola is defined by the equation, y=a+bx+cx2 .

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y=6-x² What is the…

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Q: Find an equation for the set of  all possible vertex points of a parabola that has an x-intercept at…

A: Consider that the origin (0, 0) is shifted to a point (h, k). Thus, any point (x, y) will be shifted…

Q: 5. A parabola has its turning point at x = -4 and one of the x-intercepts is x= -3. Ба What is the x…

A: From the given data: Parabola has a turning point at x=-4 That is x-coordinate of the vertex is…

Q: What is the largest possible area of a rectangle inscribed in the region bounded by the parabola y =…

A: According to the figure, we have

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) =…

A: We have to find the coordinates of the vertex for the parabola defined by the quadratic function…

Q: 4. Find the attributes for the quadratic function. Graph the parabola on the given grid. y =, (x +…

A: Given: The quadratic equation y=19 x+32-3 To determine: Attributes for the given quadratic equation…

Q: 1. Graph the curve of the parabola given its standard form of equation. 1. (x - 3)2 = 12y 2. (y +…

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Q: 3) Fit a parabola to the data. X 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 y 3.1950 3.2299 3.2532 3.2611 |…

A: The equation of parabola : y=a+bx+cx2 . And, normal equations are : ∑y=an+b∑x+c∑x2 ∑xy=a∑x+b∑x2+c∑x3…

Q: Find an equation for the parabola shown in the figure.

A: Given: The focus F-2,1 and directrix x=3 of the parabola, To find: The equation of the parabola.

Q: Use the graph to answer the following questions y y x2 + 4x + 3 %3D 6- 4 -8-6. 2. -2- -4. 6 8 -4-…

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Q: 9. How would I be able to tell apart a parabola and a cubic function just by looking at their…

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Q: 01 Write the equation of the parabola that intersects the X-axis at (-2,0) and (4. 0) in…

A: Solution: The objective is to write the equation of parabola that intersect the given points

Q: 1. The vertex of the parabola y – 5 = (x + 8)°. A. (5,-8) В. (-5,8) С. (8,-5) D. (-8,5)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: On one set of coordinate axes, graph the family of parabolas f(x) = x2 + 2x + c for c = - 3, c = 0,…

A: Consider the parabola f(x)=x2+2x+c. The graphs of the family of parabolas for c=-3, c=0 and c=1…

Q: 2. Write the equation for a parabola, in vertex form, that satisfies the following conditions: a)…

A: The standard equation of a parabola is given by y=a(x-h)2+k, where (h, k) is the vertex of the…

Q: Determine the axis of symmetry for the graph of the following parabola: f (x) = 3x2 + 24x - 54 - Ox…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.