Determine the equation of the quadratic function with vertex (3, 5) and passing through the point (– 2, – 20) y =

Q: Write the equation of the function represented by the parabola in vertex form and in the form y =…

A: Given points vertex (-1,-6)(0,-4)

Q: Find the intersection points of the parabola above and the line -x+y=-4.

A: Given equation of parabola and the line are as below.

Q: Find the point on the parabola x= - 2t, y = - 2t, - o <t< oo, closest to the point (- 32, – 1).

A: Let the point (x, y)=(-2t, -2t2) on the parabola be the closest point to (-32, -1) So distance…

Q: Find the point on the line 2x + 6y + 5 = 0 which is closest to the point (2, 0).

A: Let, (h,k) be the point on the  2x+6y+5=0. That is,

Q: A hiker realises that the sun is going down and she forgot her headlamp. If the surface of the…

A:

Q: Find the vertex of the parabola. f(x) = 2x + 16x + 39 (х, у) %3

A: We have to find vertex

Q: Find a, b, and c, so that the graph of the quadratic equation y = ax + bx +c passes through (-2,14).…

A:

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function

A: We will first express the equation of the parabola in the standard form: y = f(x) = ax2 + bx + c. x…

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-…

A: Solving two equations

Q: Write the equation of the parabola that has the same shape as f(x) = 3x² but with vertex (7,6) in…

A:

Q: 18. Write the equation of a parabola with the shape as f(x)=-2x² but with the vertex (-3, 2).

A: Please refer the attached image for complete solution.

Q: Find the equation of the quadratic function y = ax2 + bx + c whose graph is shown. Select three…

A: Consider the graph: The following coordinates on the graph are:3,0,4,1 and 5,0Point 3,0: a32+b3+c=0…

Q: Draw the graph of a quadratic function that has a vertex at (−2,5) and has a y-intercept of 3. Make…

A: Quadratic function and it's graph

Q: Find the quadratic function y = ax + bx + c whose graph passes through the given points. (-1,-5),…

A: I am sorry to say that According to our guideline we can answer only one question at a time. Other…

Q: Write the equation of the parabola that has the same shape as f(x) = - 10x but with vertex (5,7) in…

A: f(x)=-10x2The new parabola has vertex (5,7)

Q: Which is the equation of a parabola that has x-intercepts at (2,0) and (-6, 0)?

A:

Q: Find an equation of the line in the form ax+ by = c whose x-intercept is 30 and y-intercept is 6,…

A: The given form of equation of line is:ax+by=cThe x-intercept is 30The y-intercept is 6

Q: Find the x intercepts and the coordinates of the vertex for the parabola y = x^2 + 4x -21. If there…

A:

Q: Find the point on the graph of the equation 16x = y2 that is closest to the point (6, 0).

A: The function is 16x=y2 and the point is 6,0.

Q: find the equation of the line parallel to 8x+13y=16 and passing through the point (0,16).

A: Given equation of a line 8x+13y=16 and a point 0,16 through which a parallel line passes. To find…

Q: In this problem, you are asked to find the best-fit quadratic y = q(x) = ax + br + c through the…

A: Given: General quadratic equation is y=qx=ax2+bx+c The equation is passing through the points -2,2,…

Q: b) Determine the concavity, Y-Intercept, X- intercept of the quadratic equation And sketch the…

A: Clearly shows the turning poin of the quadratic equation is (10, -50)

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x²-8x+7. If there is…

A: The given equation is;  y=x2-8x+7.

Q: Write the equation of the parabola that has the same shape as f(x) = 9x´ but with vertex (- 2,3) in…

A:

Q: Write the equation of the parabola that has the same shape as f(x) = - 10x but with vertex (5,7) in…

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: Find the point on the line 4x+4y+5=0 which is closest to the point (4,3)

A: Given,A line 4x + 4y + 5 = 0 and a point (4,3).The equation of the line can be written as,

Q: Find the equation of the line parallel to 8x+5y=3 passing through the point (6,1).

A: Please refer the attached image for complete solution.

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: Write the equation of the parabola that has the same shape as f(x) = - 4x but with vertex (7,3) in…

A:

Q: Graph the curves and show that the 2x2-y2=C is a solution to yy'-2x=0.

A:

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 point on the line y = 2x + 1 that is closest to the point (2, 2).

A: Given: Given equation of the line is y=2x+1 We want to find the point on the line  y=2x+1 that is…

Q: 3) Find the vertex of the parabola f(x) = 4x² + 40x+104. Write in correct (x, y) form.

A:

Q: Write the equation of the parabola that has the same shape as f(x) = - 9x but with vertex (2,7) in…

A: Given, y=g(x)= -9x² Therefore, a=-9

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: Find the standard form for the equation of the line which passes through the point (5, –19) and…

A:

Q: Find the point on the line 5x + 2y + 7 = 0 which is closest to the point (1, –2)

A:

Q: Find the point on the parabola y=x2 closest to (6,3

A:

Q: Write an equation for the quadratic graphed belov x-intercepts: (-1,0) and (4,0). y-intercept: (0,2)…

A:

Q: Find the point on the line 2x+4y+1=0 which is closest to the point (-4,2).

A:

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f (x) = 3(x…

A: Given function is  fx=3x+52−4

Q: Find the point on the line 6x + 2y – 4 = 0 which is closest to the point (5, 1) |

A: Given line : 6x+2y-4=0 6x+2y=42y=-6x+4y=-3x+2 let P be the point on the line  is (x,-3x+2) Now we…

Q: Write equation 16x2 - 24xy + 9y2 - 60x - 80y + 100 = 0 as a quadratic equation in y and then use the…

A: We need to use a graphing utility to graph the following exercise Given quadratic equation…

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-2y=4?

A:

Q: Determine the quadratic function whose vertex is (1,-5) and whose y-intercept is -3.

A:

Q: Find the curve whose slope at any point (x,y) is 6x^2−2x−5 if the curve is required to pass through…

A:

Q: Write the equation of the parabola that has the same shape as f(x) = - 4x but with vertex (7,3) in…

A: The solution is as shown below

Q: Find the vertex for the parabola y = 0.01x2 + 0.6x + 100. Then determine a reasonable viewing…

A: Given: y=0.01x2+0.6x+100  To determine: The vertex for the given parabola &amp; graph of the given…

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x´-8x+12. If there is…

A: