A quadratic function in standard form is given by the following equation. f(x) = a(x - h)2 + k The vertex (h, k) can be used to fill in the blanks below. Rx) = a(x- ( -4 %3D -3 Rx) = a(x + PE)- %3D Step 3 Finally, determine a. The parabola passes through the point (0, 5). Substitute the values of x and y into the equation. 5 3 + o e = Solve for a. Simplify the coefficient of a and move all constant terms to the left side of the equation. 9 = Simplify. 国v 1 Step 4 We can now write the equation in standard form. Use y in place of f(x). y= + 6x + 5 *

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

A:

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 vertex and the x-intercepts (If any) of the parabola. (If an answer does not exist, enter…

A: The function for the parabola is given by, y=3x2-8x-3

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 real numbers a, b, and c so that the graph of the quadratic function y=ax2+bx+c contains the…

A: Graph y=ax2+bx+c Putting given points in the equation    -1, -4a-12-b+c=-4a-b+c=-4…

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

A: We have to find vertex

Q: Write the quadratic function in the form a(x - h)2 +k by completing the square. Also find the vertex…

A: Given 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: 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: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = 3x2 -…

A: Vertex form of parabola equationis given byy=ax-h2+kwhere h,k is vertex

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: 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: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = 2x2 -…

A: Given quadratic function, fx=2x2-8x+3 let y=2x2-8x+3 We know that for any parabola in the form…

Q: Use the vertex (h, k) and a point on the graph (x, y) to find the Standard Form ( f(x) = a(x − h)² +…

A:

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -2x2 +…

A: The given quadratic function f(x) = -2x2 + 8x - 1   Known fact: The standard form of the quadratic…

Q: 25. What are the coordinates of the vertex of the parabola given the function f(x) = x2 + 8x-3 %D

A: f(x) = x2+8x-3 From the above equation we can see that the highest power of y is 1 and x is 2. This…

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: A grass fire burns in an approximate circle. Firefighters, spraying the fire, can affect the area of…

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: The quadratic function shown has an equation of y= a(x-3)(x+1) where a, m, and are integers. (0,-6)…

A: I have given an answer in step 2.

Q: Find the x- and y-intercepts of the graph of the quadratic function. 1.      f(x) = x2 − 6x − 27

A:

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

A: solution.

Q: A cannonball fired out to sea from a shore battery follows a parabolic trajectory given by the graph…

A:

Q: . The function shown below gives the cost C in dollars of manufacturing x bicycles at a production…

A: GIVEN: C(x) = 2x2 - 600x + 55000

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

A:

Q: The south side of a bridge forms a parabolic arch. The arch is 8m wide and it’s center is 6m above…

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

A: Consider the given equation of the parabola.

Q: A cascading fountain forms a stream of water that can be modelled by the quadratic relation shown 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: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A:

Q: f(x)- 2x+16X+ 27

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

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: C. Transform the Standard Quadratic function to vertex form.Show your solution 1. )= 4x² +8x – 6 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: