Express the following function in vertex form. y=3x2+6x-13

Q: Rewrite the following quadratic function in standard form (vertex form).   f(x)=−2x^2−5x−6

A: Given quadratic function is

Q: Convert the following quadratic function into standard form. Write your answer in y=ax^2+bx+c form…

A: Standard form of quadratic equation :  y = a x 2 + b x + c

Q: Consider the following quadratic function. F(x) = -3x2 – 18x – 22. Write the equation in the form…

A:

Q: Draw the graph of the function y = 3x2 +1

A: Given function is y=x33x2+1 We have to draw the graph of the function y=x33x2+1 Some property for…

Q: Sketch the graph of each function. 1) y= Vx+2 -6 -4 -2 $ x

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Q: 2. Rewrite the following quadratic function in standard form, identify the vertex: f(x) = 2x + 12x -…

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Q: Graph the functions

A: We will make a table for the function.

Q: Sketch the graph of the following quadratic function by method of factoring or Quadratic formula to…

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Q: A. Transform each function to vertex form. 1. y = x2 + 8x + 20

A: Topic = Quadratic equation

Q: Complete the square to re-write the quadratic function in vertex form: y = x + x – 2

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Q: Let f(x) = -0.4x² + 6x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

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Q: Q3:Graph the following function:- 1- f(x) 1x- 31-1 2- x-1-y2

A: Given: 1) f(x)=|x-3|-12) x=1-y2

Q: Which graphs shows the function f (1): %3D 243z+2 17

A: Given

Q: Find the intercepts of the graph of h(x) = 3 | x + 2 | - 1.

A: The x-intercept of a graph is a point where the graph meets the x-axis. The y-intercept is the point…

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

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Q: Find the standard form f(x) = a(x – h)? + k and an X -intercept of the quadratic function that has a…

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Q: Graph the function for the given domain. y =x2-2 D-2-1,0,1, 2)

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Q: 23. f(x) = 2x %3D

A: We can solve the given problem using concept of graphical analysis.

Q: Find the y coordinate of the vertex: f(x) =x +5x+3 О-13/4 О 5/2 O 13/4 O -5/2 to search

A: Given query is to find coordinates of vertex.

Q: Find the largest damain af the function : 2X+2X-1 x²+3X-10

A: Given  y = 2x2+2x-1x2+3x-10 To find the domain of the above function, we have to find the value of x…

Q: Use the graph of f(x) → 3x² to obtain the graph of h(x) =: 2.

A: Given :      f(x) = 3x2       h(x) = 1/3 x2

Q: Graph the function 3 Y = -4Vx – 2

A: y=-4 x-23 now at x=0y=-4 0-23y=5.04now at y=0 0=-4 x-23x-23=0x-2=0x=2

Q: Use desmos to find the vertex for f (x) = x² – 6x + 13. -

A: Given :- f(x)=x2-6x+13 To find:- use desmos to find vertex

Q: Determine the corresponding quadratic function for the following graph. -2 [ Select ] -3 corresponds…

A: To solve the following

Q: Consider the function: f(x) = 2x2 + 4x + 160 %3D - The direction of the graph is like which of the…

A: Given function is  f(x)=-2x2+4x+160

Q: y = 2Vx + I – 3

A: Consider y=2x+13-3. Put x=0. We get  y=20+13-3=213-3=2-3=-1

Q: 4) y= V4x + 8 -2 9-

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Q: Graph f(x) = x² – 8x + 12 below by first selecting the correct shape, clicking the vertex, then…

A: f(x)=x2-8x+12y=x2-2x(4)+42+12-42y+4=(x-4)2 hence the vertex is (4,-4)for x intercept…

Q: B) Write and Sketch the graph of the function 1) y = x2 – 1 Compressed horizontally by a factor of 2

A: →For compression horizontally , reduce the intersection point by the given factor in problem. →For…

Q: graph the following function: y=4cot(3x-3pi/4)-1

A: we have to sketch

Q: Find the vertex of the graph of the following quadratic function. f(x) = x² - 10x – 1

A: Consider a quadratic function is defined as, y=ax2+bx+c The vertex of a quadratic function is the…

Q: 1. Determine the vertex of f(x) = -2x2 + 12x – 19 and write the function in vertex form.

A: As per guideline we have to solve only one question

Q: Sketch the graph of each quadratic function and compare it with the graph of y = x2. (a) f(x) = (x –…

A: Given f(x)=(x-4)2

Q: Write the equation for the final transformed graph. f(x) = x2; stretch vertically by a factor of 4,…

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Q: Put the function f (x) = 2x2−20x + 57 in vertex form. Also, state the vertex.

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Q: Express the following function in vertex form. y=x2+10x+22

A: Given:

Q: f(x) = 2x² – 12x + 14

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Q: Find the x coordinate of the vertex: f(x)= 3x-4x+1 %3D

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Q: Complete the square to re-write the quadratic function in vertex form: y = x + 4x – 2 -

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Q: If the zeros of the function f(x) = x² + 16x + 60 are x = -6 and x = -10, wl are the coordinates of…

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Q: Find the vertex, focus, and directrix for the following function. x^2+8x=4y-16

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Q: Find the Maximum or Minimum value of the following quadratic function f(x) = -3x2 - 12x + 7

A: Given quadratic function: fx=-3x2-12x+7 For a quadratic function fx=ax2+bx+c: The maximum or minimum…

Q: Let f(x)=2(x-2)(x+4). What are the coordinates of the vertex?

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Q: f(x) = −x2 − 4x + 3 identify the vertex

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Q: 3. Write the function defined by fx) = -2x2- 12x in vertex form and identify the vertex of the…

A: Given,

Q: 4) y= V4x + 8 %3D y -6 -4 -2 4.

A:

Q: Match each equation with its graph in a–f.; z2 - y2 - x2 = 1

A: Given: z2−y2−x2=1

Q: Enter the letter of the graphed function. a.y=(x + 2)(x - 1)(x-3) b.y = (x + 2)(x - 1)(x - 3)² c. y…

A: Topic = Functions Correct option = d

Q: 2-Graph the following functions a) y = x+1 ,-15xs1 b) x2 + y = 2 c) y = 1-x2 0<x<3

A: a)

Q: Use the vertex formula to find the vertex of the graph of the function. f(x) = 2x2 - 3x + 7 (x,…

A: Given: f(x)=2x2-3x+7

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.