Completing the Square (Continued) Assignment

Compare the graphs that Jennifer and Matt drew by completing the statements. Jennifer's graph is vertically shifted _____ from Matt's graph. Jennifer's graph is horizontally shifted _____ from Matt's graph. Jennifer's graph is _____ as Matt's graph. Which graph has a vertex that is a maximum?

2 units down 0 units left or right the same shape as neither Jennifer's nor Matt's

Write g(x) = 4x2 + 88x in vertex form. The function written in vertex form is g(x) = _____ (x +11)2 + _____.

4 -484

Write p(x) = 21 + 24x + 6x2 in vertex form. p(x) =___ (x + ___)2 -___

6 2 3

What is true about the transformation that was performed? Check all that apply. g(x) has an axis of symmetry at x = 3. g(x) is shifted down 5 units from the graph of f(x). g(x) is shifted right 3 units from the graph of f(x). g(x) is shifted up 4 units from the graph of f(x). g(x) is narrower than f(x).

a c d

What is h(x) = -3x2 - 6x + 5 written in vertex form? h(x) = -3(x + 1)2 + 2 h(x) = -3(x + 1)2 + 8 h(x) = -3(x - 3)2 - 4 h(x) = -3(x - 3)2 + 32

b

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 + 1 q(x) = -5(x + 10)2 - 1 s(x) = -(x - 1)2 + 0.5 g(x) = 2x2 + 10x - 35 t(x) = -2x2 - 4x - 3

b e

When Nick checked his work it did not match the standard form function. Analyze Nick's work. What was his mistake? In step 1, he did not put the function in standard form correctly. In step 2, he should have also factored -7 from the constant term, 17. In step 3, he did not subtract -7(9) to keep the function equivalent. In step 4, he did not write the perfect square trinomial correctly as a binomial squared.

c

What is the first step in writing f(x) = 3x2 + 6x - 8 in vertex form? Factor out 3 from each term. Form a perfect square trinomial by keeping the value of the function equivalent. Write the trinomial as a binomial squared. Factor out 3 from the first two terms.

d

Describe Sandra's function. What is the vertex of this function? Is it a maximum or a minimum? What is the axis of symmetry of this function?

(-3 , -45), minimum x = -3