Envision Algebra

The graph of f(x)=ax² opens downward and is wider than the graph of f(x)=x². Which of the following could be the value of a?

• -10

• -0.1

• 0.1

• 10

What is the average rate of change of f(x)=2x²-x-4 over the interval -4≤x≤2

• -8

• -5

• 1

• 5

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which statements about the graphs of g(x)=-5x² and f(x)=x² are true? Select all that apply.

• g is wider than f

• f and g open in the same direction

• f and g have the same vertex

• f and g have the same axis of symmetry

Over what interval is the function increasing?

What is the vertex of the graph of function f(x)=2(x-4)²-1?

What is the axis of symmetry of the function y=-3(x-2)²+1

• x=-3

• x=-2

• x=1

• x=2

Which of the following functions has a graph with a vertex that is translated 3 units horizontally to the left of the vertex of the graph of f(x)=(x+1)²-4?

• g(x)=(x+1)²+4

• g(x)=-(x+3)²+3

• g(x)=2(x+4)²-4

• g(x)=(x-2)²-4

Identify the vertex of the graph of f(x)=(x-1)²-4.

Identify the y-intercept of the graph of f(x)=(x-1)²-4.

Tags

CCSS.HSF-IF.C.7A

The graph of h is the graph of f(x)=x² translated 4 units left and 7 units down. Write the function h in vertex form.