Pick one of the two problems. Find the vertex, determine if the vertex is a maximum or a minimum, find the axis of symmetry, and find the y-intercept. 1.) y = 3x2 - 6x +7 2.)/(x) = x + 8x + 15

Q: Match the equation with its graph. 15x2 - 4y2 + 15z2 = -4 3. 56 3 21 2t y 3 5 -3 54 N

A: Quadratic Surface:

Q: what is the axis of symmetry of y=2(x+9)2

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Q: Q.2 Find the vertex point and show in graph: y=2x²-4x+4

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Q: Find the points of intersection of the graphs of the equations.                         x − y = −5…

A: From x-y=-5 we get y=x+5 Then we plug it in the other equation and find x.

Q: 3. Explain briefly the steps to find the coordinates of the vertex of y = 2x –16x+5

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Q: 11. A store sells about 40 video game systems each month when it charges $200 per system. For each…

A: Given  vertex form

Q: If P(z) = 6 + z – 10z² represents the profit in selling z thousand Boombotix speakers, how many…

A: Given profit function is Px=6+x-10x2. Compute the derivative.…

Q: It is easiest to graph y = 3 csc 2x by first graphing y =_______ .

A: for drawing graph of y=3cosec2x, we first draw graph of y=coesc2x after that graph of y=3coesc2x…

Q: Given the equation  5x2 = 6x + 18 determine: The minimum value of y

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Q: list the intercepts and test for symmetry.     4x2+y2=4

A: The given equation is, 4x2+y2=4. Let us find the x and y intercepts of the given equation. To find…

Q: Sketch the graph of y=2x^2-16x+30  Label the vertex and the x and y intercepts.

A: The given function is y=2x2-16x+30. Rewrite the above equation as follows.…

Q: What is the vertex of the equation y = (x – 3)² + 5

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Q: Select the equation that represents the graph abov A y = Vx + 4 - 2 B y = Vx - 4

A:

Q: (b) Find the number of points of intersection of the graph of y = = -x + 6x -(a + 9) and the x-axis.

A: It is given that the equation of the parabola is y=-x2+6x+a-9. We have to find the number of points…

Q: Which set of points includes all of the solutions for y= 2/2

A: Giveny=52x+32

Q: Find the relative maximum and relative minimum points of the graph y = 3x3 + 2x2 – 11x

A: We use second derivative test to find relative maximum and minimum points

Q: a. What is the maximum or minimum point for the curve y = x² - 4 b. What is the maximum or minimum…

A: Given  y = x2-4    .............. (1)  To check local minima or local maxima, we have to…

Q: How to find the intersection points of y=(x+1)1/2 and y=x2.

A: The given functions are y=x+112   and   y=x2. In order to get the intersection points, first sketch…

Q: Find the points of Intersection of the graphs of the equations. x² + y = 16 -4x + y = 11 (x, y) =…

A: Here we have to find the intersecting points.

Q: . What are the values of x for which the graph of y = x³ – 9x2 is concave down? (A) x > 0 (B) x 3…

A:

Q: If the revenue function is           R=500x-2x2  a)  Find the vertex .  b) What is the maximum…

A: Given revenue function is                                                              R=500x-2x2…

Q: 1. What is the y intercept ? (, ) 2. What are the x intercepts -3 -2 2. -2 3. Where is the vertex ?…

A: The y-intercept is the point at which the graph of the function passes through the y-axis where as…

Q: What is the vertex of z= 5(y + 5)² + 3? Vertex

A: To find the vertex, we first factor out the given function. thereafter complete the square  and…

Q: Find axis of symmetry and vertex of y=x2+4x+3

A: given that y=(x^2)+4x+3 find axis of symmetry and vertex

Q: Which of the following equivalent forms of the equation y -4x -12x-7 can best be used to find the…

A:

Q: y = 4 + x2" Find the vertices of the rectangle with maximum area. Vertices =

A: A rectangle has one side on the axis and other  two verices on the curvey=81+x2

Q: Find the length of the curve. y = 6. 10x3' 1 < x < 3

A: Given to find the length of the curve first differentiate it. Square on both the sides and add one…

Q: Find the relative minimum point, maximum point, point of inflection and Sketch the graph of the…

A: Here, we need to find the relative minimum point, maximum point, point of inflection of the function…

Q: Find the points of intersection of the graphs of the equations.                        5x + 3y = −1…

A: The given equations are, 5x+3y=-1              ...... 1x-y=-5                  ...... 2 Multiply…

Q: What are the coordinates of the vertex of the graph of y = x2 + 8x + 1?

A: At the vertex derivative of y is equal to zero.

Q: What is the vertex of x -y'+ 6y + 2? Vertex %3D

A:

Q: Find the points of intersection of the graphs of the equations. x2 + y = 17 -2x + y = 14 (x, y)…

A: Given  x2 + y = 17     (i) -2x + y  = 14 ⇒ y = 14+2x       (ii) Putting the value of y in equation…

Q: Match the equation with its graph. 15x2 – 4y2 + 15z2 = -4 3 2

A: -x2a2 + y2b2 - z2c2 = 1  , represents a hyperboloid with axis y=0.

Q: What is the equation of the parabola with the optimal value of -135 and with the zeros of 8 and -6

A: Zeros of the parabola are 8 and -6. Soy = a(x-8)(x+6)  ---{1}We need to calculate the vertex of the…

Q: 4) What is the vertex? a) y = (x + 3)2 + 4 b) y = x2 - 8x + 9

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Q: The coordinates of the turning point of the graph of y x+ 4x + q are (-2,-7). The value ofq is (1)…

A:

Q: Sketch the graph of y = x 2 + 4x + 6 by plotting the minimum point, the y-intercept, and one other…

A: Since the leading coefficient is 1, which is positive. So this parabola will have its minimum value…

Q: Match the equation with its graph. x2 y2 z2 + = 1 9 9 16 4 -5

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Q: Find the coordinates of the vertex at y=-3x² + 5x -2?

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Q: Find the points of intersection of the graphs of the equations. y = x3 y = 16x (x, y) = (smallest…

A:

Q: y=7x2+9x+4 What is the vertex?

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Q: (b) Graph the equation x² + 2x +9y² +9z² = 8, labelling the coordinates of the center and one vertex…

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Q: Find the maximum and minimum points for y = x^5 -5x^3 -20x – 2

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Q: What is the vertex? What is its x-intercepts? What is the y-intercept? equation attatched

A: Given The quadratic function  fx = 2x2-15x-8  We have to find vertex, x-intercepts and y intercept.…

Q: Solve. Then graph including intercepts and all convenient points. 15) x2 + y2 = 65 xy = 8

A: Here Given equation of circle x2+y2=65  and Rectangular hyperbolic function xy= 8

Q: The Minimum point of y = 3x+6

A: Find out the minimum point of the function.

Q: Find the points of intersection of the graphs of the equations                           x2 + y2 =…

A:

Q: Pick one of the two problems. Find the x-intercepts, vertex, determine if the vertex is a maximum or…

A: y = -(x-5)(x+1) X-INTERCEPTS (−1,0) ,(5,0) Y-INTERCEPTS (0,5) LOCAL MAXIMA (x,f(x))=(2,9)

Q: Find the points of intersection of the graphs of the equations                           x + y = 8,…

A:

Q: Match the equation with its graph. 15x2 – 4y2 + 15z2 = -4 3 2 -3 56 N N

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.