B. Sketch the graph of the following. Give the domain and range of the following quadratic function defined by the given equation. Determine the direction where the parabola opens, its vertex, its axis of symmetry, and its x- and y- intercepts. 1. y = x2+8x+4 2. y = x2 +4x+5 I. 3. y = -3x2 + 12x - 7 4. y = 2x2-4x-6

Q: Find the vertex and all of the intercepts for the following parabola: f(x) = x2 +4x+10

A: Given: The equation of parabola f(x) = x2 +4x+10.

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: If f (x) = 2(x - 3)2- 8, Which of the following choices is an equation for the same parabola as f…

A:

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: Write the equation of the parabola that has the same shape as f(x) = - 7x but with vertex (- 6,4) in…

A: Topic- equation of parabola

Q: Graph the following quadratic function using 2 points: vertex and y-intercept y = + 4r + 4

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 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 quadratic function f whose graph is shown below. -4 -2 2. (§. -2) 10 12 14…

A: The quadratic form of a cuvre in vertex form is represented by  y = a(x-h)^2 + k  where (h,k) is the…

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

A:

Q: Complete the following questions and submit them to the dropbox. 1. Find the minimum value of the…

A:

Q: . For a particular quadratic function, the leadin whose coordinates are (-3, 14). Which of the (1)…

A:

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: Find the point on the parabola y* = 2x that is nearest the point (1, 4).

A:

Q: Which equation represents the graph of a quadratic function that has a vertex located at (-3, -1)?…

A: To find: The equation of quadratic function that have vertex located at -3,-1. Formula used: The…

Q: Write the equation of the parabola that has the same shape as f(x) = - 6x but with vertex (- 5,3) in…

A:

Q: What are the coordinates of the vertex of the parabola given the function f(x)=x^2+8x-3

A: f(x) = x² + 8x - 3 Let, y = f(x)  So, y = x² + 8x - 3   Next, we will complete the square on the…

Q: Graph the function ?(?)=?2+2?−10f(x)=x2+2x−10by using completing the square to rewrite in vertex…

A:

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: 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: 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: The parabola f(x) = −2x² − 4 can be graphed = −x² downward by 4 by shifting the graph of y = units.…

A: graph

Q: Determine the vertex for the following parabola. f (x) = 7x2 + 3x – 4 -

A:

Q: Use the ALEKS graphing calculator to find the vertex and x-intercept(s) for the quadratic function.…

A: We graph f(x)=x2 -5x + 9 using a graphing calculator.

Q: For each of the following quadratic functions, find the vertex, y-intercept, and the x-intercept(s)…

A:

Q: Find the equation of the quadratic function f whose graph is shown below. (4, 7) |(5, 4) s(x) = 0 2+…

A: For the given figure:                                       To determine:…

Q: Write the standard form of the quadratic function whose graph is the parabola shown.

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: If the vertex of the parabola f (x)= x² +bx+c is at (7, -4), find b and c. (Note: a = 1).

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 a formula for the quadratic function whose graph is shown. y X 15 f(x) = -5 30 20 10 f 5 (5,2)…

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 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: Find the vertex and all of the intercepts for the following parabola: f(x) =-3(x+9)2 +27

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

A:

Q: For each of the following quadratic functions, find the vertex, y-intercept, and the x-intercept(s)…

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

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

Q: Find the equation of the following quadratic, in vertex form f(r) = a(x – h) + k. 6+ -6 -5 -4 -3 -2…

A: Given graph is  To find: The equation of the following quadratic in vertex form  fx=ax-h2+k

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: If a ball is thrown upward at 19.6 meters per second from the top of a building that is 30 meters​…

A: If a ball is thrown upward at 19.6 meters per second from the top of a building that is 30 meters​…

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 & graph of the given…