Completing the Square (Continued)

Question 1

Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three options.The graph of f(x) = x2 is shifted down 50 units.The graph of f(x) = x2 is shifted up 50 units.The graph of f(x) = x2 is shifted left 10 units.The graph of f(x) = x2 is shifted right 10 units.The graph of f(x) = x2 is reflected over the x-axis.

Revolt · Accepted Answer

The graph of f(x) = x2 is shifted up 50 units.; The graph of f(x) = x2 is shifted right 10 units.; The graph of f(x) = x2 is reflected over the x-axis.

Question 2

The function written in vertex form is g(x) = [___] (x +11)2 + [___].

Revolt · Accepted Answer

4(x + 11)^2 - 484

Question 3

x = –45x = –3x = 3x = 45

Revolt · Accepted Answer

= –3

Question 4

241224

Revolt · Accepted Answer

2

Question 5

What is the axis of symmetry of h(x) = 5x2 + 40x + 64?

Revolt · Accepted Answer

x = −4

Question 6

372124

Revolt · Accepted Answer

3

Question 7

Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2?

Revolt · Accepted Answer

g(x) = 8(x – 3)2 – 5

Question 8

The function g(x) = 10x2 – 100x + 213 written in vertex form is g(x) = 10(x – 5)2 – 37. Which statements are true about g(x)? Select three options.The axis of symmetry is the line x = –5.The vertex of the graph is (5, –37).The parabola has a minimum.The parabola opens up.The value of a, when the equation is written in vertex form, is negative.

Revolt · Accepted Answer

The vertex of the graph is (5, –37).; The parabola has a minimum.; The parabola opens up.

Question 9

What is the vertex of g(x) = 8x2 – 48x + 65?

Revolt · Accepted Answer

(3, –7)

Completing the Square (Continued) Answers

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