Review 3-1 to 3-3

What is the vertex of

 $f\left(x\right)=3\left(x+4\right)^2+5$  ?  

Type your answer in parentheses with NO SPACES!  For example: (1,2) not (1, 2)

(a)  

What is the axis of symmetry on the graph of

 $f\left(x\right)=-2\left(x-9\right)^2+7$  ?
Type your answer without any spaces.

(a)  

Which function has a graph that is translated left 3 units and down 4 units from the graph of

 $f\left(x\right)=x^2$  ?

•  $g\left(x\right)=\left(x-3\right)^2-4$  

•  $g\left(x\right)=\left(x+3\right)^2-4$  

•  $g\left(x\right)=\left(x-3\right)^2+4$  

•  $g\left(x\right)=\left(x+3\right)^2+4$  

The graph of

 $f\left(x\right)=ax^2$  opens downward and is wider than the graph of  $f\left(x\right)=x^2$  .  Which of the following could be the value of  $a$  ?

•  $0.2$  

•  $-0.2$  

•  $2$  

•  $-2$  

The vertex of a parabola is (-2, 6), which is shown on the graph along with the axis of symmetry. The point (1, -1) , shown, is also on the parabola. What other point MUST be on the parabola?

• (1, 1)

• (-1, -1)

• (-5, -1)

• (-3, -1)

Tags

CCSS.HSF-IF.C.7A

What is the vertex of the parabola with equation $f\left(x\right)=8x^2+1$  ?

Type your answer in parentheses with NO SPACES!  For example, (1,2) not (1, 2)

(a)  

What is the vertex on the graph of $f\left(x\right)=3x^2-12x+7$  ?

Type your answer with NO SPACES! For example, (1,2) not (1, 2)

(a)  

Which statements about the graphs of $f\left(x\right)=-3x^2$  and  $g\left(x\right)=\frac{2}{3}x^2$  are true?  Select all that apply.

• They have the same vertex.

• They open in the same direction.

• The graph of f(x) is wider than the graph of g(x).

• The graph of g(x) is wider than the graph of f(x).

Which statements about the graphs of  $f\left(x\right)=2\left(x-5\right)^2+8$  and  $g\left(x\right)=x^2-10x+8$  

  are true? Select all that apply.

• They have the same vertex.

• They open in the same direction.

• They have the same axis of symmetry.

• The y-intercept for both is (0, 8).

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which is the equation for the quadratic function with the graph shown?

• $f\left(x\right)=-\left(x-1\right)^2+3$

• $f\left(x\right)=-\left(x+1\right)^2+3$

• $f\left(x\right)=-\frac{1}{2}\left(x-1\right)^2+3$

• $f\left(x\right)=-\frac{1}{2}\left(x-1\right)^2-3$

Tags

CCSS.HSF-IF.C.7A