Completing the Square (Continued) Answers
The function p(x) = 6x2 + 48x written in vertex form is p(x) = 6(x + 4)2 – 96. Which statements are true about the graph of p? Check all that apply. The axis of symmetry is the line x = –4.The graph is narrower than the graph of f(x) = x2.The parabola has a maximum.The parabola opens down.The value of k is –96, so there is a vertical shift down 96 units.
–8–448
–128–1616128
down 4left 4right 4up 4
down 128left 128right 128up 128
What is f(x) = 8x2 + 4x written in vertex form?
Which statement is true concerning the vertex and axis of symmetry of h(x)=−2x2+8x?
What is the first step in writing f(x) = 6x2 + 5 – 42x in vertex form?
Which is one of the transformations applied to the graph of f(x)=x2 to produce the graph of g(x)=2x2−28x+3?
What is the vertex of g(x) = 8x2 – 64x?
–8–448
Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of p(x) = –50 + 14x – x2?
What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?
The function written in vertex form is g(x) = [___] (x +11)2 + [___].
4(x + 11)^2 - 484
(–3, –45), minimum(–3, 45), maximum(3, –45), minimum(3, 45), maximum
2346
What is true about the transformation that was performed? Check all that apply.
What is h(x) = –3x2 – 6x + 5 written in vertex form?
Which functions have a maximum and are transformed to the left and down of the parent function, f(x) = x2? Check all that apply. p(x) = 14(x + 7)2 + 1q(x) = –5(x + 10)2 – 1s(x) = –(x – 1)2 + 0.5g(x) = 2x2 + 10x – 35t(x) = –2x2 – 4x – 3
When Nick checked his work it did not match the standard form function. Analyze Nick’s work. What was his mistake?
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