Algebra 2 Lesson 2-1 vertex form of a quadratic

Multiple Select

Which of the following describe the transformation of $$y=-\left(x+1\right)^2-5$$   from the parent function? Select all that apply.

• reflected over the x-axis

• shifted one unit right

• shifted one unit left

• shifted five units down

• shifted five units up

Multiple Select

Which of the following describes the transformations from the parent function of $$f\left(x\right)=\left(x+6\right)^2+3$$  ? Select all that apply.

• reflected over the x-axis

• shifted 6 units left

• shifted 6 units right

• shifted 3 units up

• shifted 3 units down

Multiple Select

What is the minimum or maximum of the function $$y=-2\left(x-5\right)^2+3$$  ?

• There is a minimum at y = 3

• There is a maximum at y = 3

• There is a minimum at y = 5

• There is a maximum at y = 5.

Multiple Choice

What is the axis of symmetry of the parabola $$y=-2\left(x+7\right)^2-3$$  ?

• $$x=7$$  

• $$x=-7$$  

• $$x=3$$  

• $$x=-3$$  

Multiple Choice

What is the equation of the parabola with a vertex of (1,-4) and which passes through (-2,-1)?

• $$y=\frac{1}{2}\left(x-1\right)^2-4$$  

• $$y=\left(x+2\right)^2-1$$  

• $$y=-\left(x-1\right)^2-4$$  

• $$y=-\left(x+1\right)^2-4$$