Consider the following equation. y = −x2 + 5x − 2 (a) State whether the axis of symmetry is a vertical or a horizontal line. vertical line horizontal line     (b) State the direction in which the parabola opens. left down     up right

Q: Graph the equation y=x^2-14x+48y=x2−14x+48 on the accompanying set of axes. You must plot 5 points…

A: Given: The equation, y=x2-14x+48

Q: Graph the equation 3x – 4y = 8 by writing the equation in the form y = mx + b. 5+ 4- 3 2- -5 4 -3 -2…

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Q: Given the following equation, where would you graph the 1st point. y = −23x −4

A: We solve here linear mathematical problem in graph.

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: Given equation is x=3y+4. To sketch the graph of the equation and label the x-intercept and…

Q: Eliminate the arbitrary constants of the equation y = ce-2x + C2e3x (A) у" - 4y' - бу 3D0 в) у"- у -…

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Q: Find the equation of the parabola, y = ax^2 + bx + c, that passes through the points (0,5), (2,-5),…

A: we have to find the equation of the parabola y=ax2+bx+c that passes through the points (0,5), (2,-5)…

Q: Graph the equation y=-x^2+14x-48y=−x2+14x−48 on the accompanying set of axes. You must plot 5 points…

A: y=-x2+14x-48 Comparing with y=ax2+bx+c, we get a=-1, b=14 & c=-48 Now x-coordinate of the vertex…

Q: Find the standard equation of the parabola with x intercepts at x = 2 and x -3, and a y-intercept at…

A: Solution is given below

Q: Find the equation of the line that (a) has y- intercept of 3 and (b) is parallel to the like…

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Q: Find an equation for the line perpendicular to 3x + 27y= 135 and goes through Write your answer in…

A: Topic:- coordinate geometry    Hint:-  if slope of line is m than Slope of perpendicular line  to it…

Q: Graph y=x'-4r' +2r+7 on the set of axes below.

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Q: In which direction does the parabola x = -y 2 + 3 open?

A: x=-y2+3 There are two patterns for a parabola, as it can be either vertical (opens up or down) or…

Q: Find the equation of the parabola, y=ax^2 + bx + c, that passes through the points (1,4), (-1,0),…

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Q: Graph the equation 3x - 4y = 8 on the xy-plane

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Q: Graph the equation. 8x +5y%3D0 10- -10 -18

A: We solve the given equation for y

Q: Consider the following equation. y = x2 + 5x − 2 (a) State whether the axis of symmetry is a…

A: Given, equation is

Q: Transform the equation into general form. Draw its graph. (x+3)² + (y−4)² = 36

A: As we know the general form of the equation of the circle is: x2+y2+2gx+2fy+c=0 Where; The Center is…

Q: Which equation would shift the parabola down 3 units? A y=z² B y=z² +3 C_y=(z-3)² Dy=(z+3)²³ E =…

A: which equation would shift the parabola down to 3 units.

Q: Find the coordinates of the x-intercepts of the graph of the equation. (If an answer does not exist,…

A: Find x- intercepts:

Q: The equation (x − h)2 + (y − k)2 = r2 is the standard form of the equation of a ________ with center…

A: The equation x-h2+y-k2=r2 is the standard form of the equation of a circle with center (h, k) and…

Q: Match the equation with its graph. 4x2 - y2 + 4z = 0 y N +++ N

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Q: - 7x + 12 = 0 %3D AY

A:

Q: Find the x intercepts of the parabola y=x^2-7

A: Given: y=x2-7                                              ..1 we know that at x-axis, y coordinate…

Q: Graph the equation 5x + 4y = - 4 by writing the equation in the form %3D y = ma + b. 3- 2- -5 -4 -3…

A: topic- graph of equation

Q: Find the x- and y- intercept of the equation below. 6x + 5y = -15 %3D

A:

Q: Find the x-intercepts of the graph of the equation shown below y=24x² – 76x+40 OA. and 0* (0) me…

A: Given equation is y=24x2-76x+40. To find the x-intercepts. Solution: The x-intercept is the point…

Q: Match the equation with its graph. y? = 4x2 + 9z2 %3D 3 2

A: To find- Match the equation with its graph. y2 = 4x2 + 9z2

Q: Find the point on the parabola (y = x2/2) that is closest to the point (-4,1)

A: Use distance formula to evaluate

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Graph the equation y = x^2 - 8x + 7 on the accompanying set of axes. You must plot 5 points…

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Q: h) The y-intercept if you graphed y = 2X (0.1) %3D

A: Given h) y=2x

Q: If x² – 3r + 5, find (a) r- and y-intercepts. (b) f(1) (c) f(a) (d) the maximum or minimum, using…

A: The function is x2-3x+5 we can write it as =(x2-3x)+5=x2-3x+322+5-94=x-322 +114

Q: Find the dependent value for the graph y = 15 – 3x when the independent value is 2. %3D y = [?]

A: Consider the dependent variable y=15-3x Here, the objective is to find the value of dependent…

Q: . Find the equation of the parabola with x-intercepts -7 and 3, and that 2, -11). Express your…

A: Given parabola has two x-intercepts, (-7, 0) and (3, 0). Clearly its either upward or downward…

Q: Solve for the distance and midpoint from the given equation. a. {(x,y)|y=2x-5, x=-3 and 4} b.…

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Q: write the equation of a grapj that has the shape y=√x but has been reflected acroos the y-axis and…

A: Use the transformation according to question.

Q: Find the zeros of y = (+3) (a 4). Then graph the equation.

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Q: the growth of bacteria is modeled by the equation Y = 2^ x/3. For which value of x is y = 32 ?

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Q: Find the equation of the line perpendicular to 2x+3y=1 and whose distance from the origin is 7.

A: Given equation of line is  2x+3y=1 The distance of the line perpendicular to 2x+3y=1 from origin is…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Which equation is perpendicular to y = -6x +2 %3D

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Q: Q2/ A/ Find the equation of straight line passing through the point (1, 2) and parallel to the line…

A: Topic: equation of line

Q: G. Change the equation of y = x + 5 so that the graphs do not intersect.

A: It can be observed from the graph that the minimum value on the parabola occurs at x=-3

Q: Convert a = 600 to a Cartesian equation. y = x/2 x = v3y Oy= v3x

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Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: Given: x = 2y2-4 To sketch: The graph of the given equation and to label the x - and y - intercepts.…

Q: Show clear and detailed solutions • Determine and draw the graph of the following equation in R3 :…

A: We will standardize the given equation and then find its general expression to identify type of…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: One equation of a parabola in standard form is y=a(x-h)2+k. Vertex of this parabola is at (h,k) and…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.