5.3 - Quadratic Functions in Vertex Form

Which of the following are quadratic functions with a vertex of (-1,2)? Select all that apply.

Convert to standard form of a quadratic function

$$y=-4\left(x-3\right)^2+5$$

Convert to standard form of a quadratic function

$$y=3\left(x+6\right)^2-2$$

Convert to standard form of a quadratic function

$$y=2\left(x+5\right)^2-3$$

Convert to standard form of a quadratic function

$$y=-5\left(x+7\right)^2-1$$

Match the following equations to the correct vertex

What is the range of the given function? Write your answer in correct notation. Use <= or >=

$$y=-4\left(x-3\right)^2+5$$

(a)  

What is the range of the given function? Write your answer in correct notation. Use >= or <=

$$y=3\left(x+6\right)^2-2$$

(a)  

Match the following quadratic functions to the correct range.

Which graph represents the given equation?

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