Find the axis of symmetry of the parabola defined by the given quadratic function. f(x)=6x2-12x+1

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

A: At the vertex x= -b/(2a)  We compare f(x)= -x^2-4x+10 with f(x)= ax^2+bx+c  a=-1 , b=-4 and c=10

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

A: Here given an equation of the parabola

Q: Find the vertex for the parabola y = -4x2 + 20x + 160. Then determine a reasonable viewing rectangle…

A:

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

A:

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

A: We compare  f(x) = 3x2 - 12x + 1 with  f(x) = ax2 +bx + c  So, a=3, b=-12, c=1

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -2(x +…

A: Given quadratic function f(x) = -2(x + 4)2 - 8     ...(1)

Q: Complete the square and find the minimum or maximum value of the quadratic function. y = x2 + 6x + 2

A: Max or min value of the quadratic function lies at the vertex of the parabola. It is the point where…

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

A: We have to find vertex

Q: Find the x-intercepts (if any) for the graph of the quadratic function. 2) f(x) = x2 + 16x + 47 Give…

A: The X-intercept is a point where the y-coordinate is 0. You can find the x-intercept of a function…

Q: The vertex of the parabola f(x) = x² + 6x + 5 is о (-3, -4) О (-9, —4) О (-6, —4) о (-3,1) о (-6, —…

A: Find the vertex of the parabola of the function y=f(x)

Q: Determine the vertex of the parabola. f(x)=x2-20x+106

A: Consider the given equation.

Q: Find the quadratic function y = ax² + bx + c whose graph passes through the given points. (1,2), (–…

A: Here given that y=ax2+bx+c...(1) which passes through (1,2), (-1,-8), (-3,6) To find a,b, and c for…

Q: Find the vertex and the axis of symmetry of the quadratic function : 2x^2-3x+4

A: Given,

Q: f(x) = - x² -2x +1

A: This question is based on quadratic equation.

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: In the question it is asked to form a parabolic equation in which the graph should have maximum…

Q: Given f(x) = x² – 16x + 55, a. Does the graph of the parabola open upward or downward? b. Find the…

A: Given f(x)=x2-16x+55 Let y=f(x) Then y=x2-16x+55…

Q: Complete the square and find the minimum or maximum value of the quadratic function. y = x2 − 6x + 9

A: Complete the square.

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A:

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

A: Equation of parabola: f(x)=a(x-h)2+k Where (h, k) is the vertex of parabola.

Q: The vertex of the parabola f(x) =-(z-9)² + 2 is

A: Given function of parabola is, f(x) = -(x-9)2+2

Q: Complete the square and find the maximum value of f(x) = -x 2 + 4x + 1.

A: To complete the square and find the maximum values of the given function.

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 vertex of the quadratic function a. f(x)= 3(x+1)^2-4 b. f(x)= 2x^2-12x+1

A: The quadratic equation represents the equation of a parabola.The vertex of the parabola in the form…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 6x…

A:

Q: Complete the square and find the minimum or maximum value of the quadratic function. y = x2 + 2x + 5

A: Given, y=x2+2x+5 y=x+12+4 where x+12>0 for all values of x x+12≥0x+12+4≥4y≥4 y=4 is a minimum…

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: The vertex of the parabola f(x) = x2 + 14x + 4 is о (-21, -45) о (-7, -45) о (-14, -21) о (-14, —45)…

A: The given parabolic equation is   f(x) = x2 + 14x + 4 the given equation of parabola is in the…

Q: Find the vertex of f(x) = x² – 6x + 3 by completing the square. Show your work.

A:

Q: Find the equation of the quadratic function g whose graph is shown below. -10 -8 (-2, – 5) . 8 (x) =…

A: The general equation of downward opening parabola is  (x-h)2=4p(y-k), where (h,k) is the vertex.…

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: Identify the vertex of the parabola F(x) = (x - 9)2 - 7

A:

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

A:

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

A: The equation for a parabola is written in vertex form as, In vertex form the vertex is given as…

Q: 50. (h, k) = (3, 2), (x, y) = (10, 1) %3D %D

A: the general form of the equation of the quadratic function

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

A: Consider the given equation of the parabola.

Q: Find the maximum or minimum value of the quadratic function. f(x) = 3x2 - 18x + 5

A: Find the maximum or minimum value of the quadratic function.       f(x)=3x2-18x+5

Q: The vertex of the parabola of f(x)= x²+8x is

A:

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

A:

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

A: Given: f(x) = -2x2 + 8x - 1

Q: Consider the parabola given by the equation: f(x) = - 4x – 12x - 7 |

A: Given: fx=-4x2-12x-7

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: Minimum value is 0 at x=11. Since we need minimum value, therefore the parabola must be an upward…

Q: Which quadratic function opens down and is NARROWER than the graph of y=x ? (A) y =-x - 3x+2 (B) y…

A:

Q: Consider the quadratic function f(x)=x2−1x−6. The line of symmetry has the equation:

A: Given quadratic equation is,f(x)=x2−1x−6.For any quadratic equation of the form ax2+bx+c, the axis…

Q: Find the vertex for the parabola. Then determine a reasonable viewing rectangle on your graphing…

A:

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

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

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: a) Find the maximum or minimum value of the given quadratic function f(x) = x + 6x +9.

A: We can find the minimum value as below

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.