A quadratic function in standard form is given by the following equation. f(x) = a(x - h)2 +k %3D The vertex (h, k) can be used to fill in the blanks below. *) = (x - ( -3 %3D fx) = a(x + 3)- 4 Step 3 Finally, determine a. The parabola passes through the point (0, 5). Substitute the values of x and y into the equation. -(0 + Solve for a. Simplify the coefficient of a and move all constant terms to the left side of the equation. 9 = Simplify. a = Step 4 We can now write the equation in standard form. Use y in place of f(x).

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

A:

Q: Based on data from the U.S. Bureau of Public Roads, a model for the total stopping distance of a…

A: Find ds/dv using first derivative and exponent rule of derivative.

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 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:

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

A: Rewrite the given equation as follows.

Q: The vertex of a parabola is located at (−5, 6). If the parabola has a y-intercept of (0, 231), which…

A:

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

A: We have to find vertex

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 quadratic function y = ax+bx +c whose graph passes through the given points. (3,31),…

A: As the given quadratic function graph passes through the given points so the given function satisfy…

Q: Find the quadratic function y = ax² + bx + c whose graph passes through the points (1, 4), (3, 20),…

A: Given points are 1,4,3,20,-2,25 The Lagrange's interpolation formula is given as…

Q: A ball is kicked and after 2 seconds it reaches a maximum height of 21 m. At 3 seconds it reaches a…

A: 1.We can solve the problem by simply substituting the values as we can see that they gave 2…

Q: Consider the graphs of equations of the quadratic form = ax² + bx + c that have two x-intercepts.…

A: First, we will plot the graph of quadratic equation ax2+bx+c=0.    Axis of parabola i.e. axis of…

Q: What is the correct quadratic function for this parabola? 2+ 1+ -3 4 A 3 4 -3 + a. fx) = (x+ 2)(x-…

A: Explanation for the correct asnwer The intercept form is y=a(x-p)(x-q), where p and q are the…

Q: Define the formula for a parabola (a quadratic function) that has horizontal intercepts (roots) at…

A: SolutionA parabola has horizontal intercepts(roots) at x = 6.1 and x = 1.4and passes throught the…

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -x2 -…

A:

Q: The vertex of the parabola f(x) =(x+3) - 4 is а) (-3, -4) b) (3, -4) с) (3, 4) d) (-3, 4)

A:

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

A: solution.

Q: Use the vertex (h, k)and a point on the graph (x, y) to find the general form of the equation of the…

A: To find:- Use the vertex (h, k)and a point on the graph (x, y) to find the general form of the…

Q: A goat farmer is building a pen using a total of 300ft. of fencing. If the pen is to be three times…

A: (a) Let the length of the pen be y ft and the width of the pen be x ft. Determine length y in feets…

Q: Based on data from a research group, a model for the total stopping distance of a moving car in…

A:

Q: 2. (a) Bring the quadratic function f(x) 1 x² + 3x 5 into the standard form and identify the axis of…

A:

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

A:

Q: The table gives methane gas emissions in inillions of metric tons. The quadratic model y =0.0429x…

A: Solve for the year 2014

Q: In 1995​, the sports league introduced a salary cap that limits the amount of money spent on​…

A:

Q: Determine the equation of the quadratic function using the following data points (0,12), (1,6) and…

A:

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

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

Q: How do I solve this optimization problem?

A:

Q: Find the rule of the quadratic function y = ax^2 +bx+c whose graph passes through the points:…

A:

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

A: Given: f(x)=-2x+12+5

Q: h, k)  and a point on the graph  (x, y)  to find the general form of the equation of the quadratic…

A:

Q: Based on data from a research​ group, a model for the total stopping distance of a moving car in…

A:

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

A:

Q: Sketch the parent quadratic y = x2, and the graph of y = g(x)on the same axes. Then write down the…

A: The parent function y=x2a) g(x)=(x+3)2 b) g(x)=-x2+4c) g(x)=14x2d) g(x)=2(x-4)2-3

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: 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: Sketch the graph of the quadratic function f (x) = x 2 + 3x + 1/4 without using a graphing utility.…

A: (1)We are given quadratic equation

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: Suppose a parabola has an axis of symmetry atx = -2, a maximum height of 8, and passes through the…

A:

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

A: For y=a(x-h)2+k vertex (h,k)

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=7−x^2…

A:

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 & graph of the given…

Q: In 1992​, the sports league introduced a salary cap that limits the amount of money spent on​…

A:

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.