Completing the Square (Continued) Answers

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 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.

Which is one of the transformations applied to the graph of f(x)=x2 to produce the graph of g(x)=2x2−28x+3?

Which statement is true concerning the vertex and the axis of symmetry of g(x)=5x2−10x?

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.

The first steps in writing f(x) = 3x2 – 24x + 10 in vertex form are shown.f(x) = 3(x2 – 8x) + 10 = 16

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

What is f(x) = 8x2 + 4x written in vertex form?

What is the vertex of g(x) = –3x2 + 18x + 2?