Transforming Parabolas

Which function below matches the graph above?

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

• $f\left(x\right)=\left(x-3\right)^2-5$

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

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

Tags

CCSS.HSF-IF.C.7A

Which of the following will be a parabola that opens down?

• y = x² -1
• y = -x²
• y = -x -1
• y = 3x²

Tags

CCSS.HSF-IF.C.7A

Given: y = (x - 5)² + 6, the vertex is

• (2,-5)
• (-5,6)
• (2,6)
• (5,6)

What is the vertex of this quadratic equation?

y = 2(x + 2)² + 5

• (-2,5)

• (2,5)

• (5,-2)

• (-5,-2)

Which function below matches the graph above?

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

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

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

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

Graph the function

 $y=\left(x-5\right)^2-3$  

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

Write the function in vertex form.

 $y=x^2-4x+6$  

•  $y=\left(x-2\right)^2+2$  

•  $y=\left(x+2\right)^2+3$  

•  $y=\left(x-3\right)^2+2$  

•  $y=\left(x+2\right)^2-2$  

Write the function in vertex form.

 $y=-2x^2+8x+3$  

•  $y=2\left(x+2\right)^2+11$  

•  $y=-2\left(x-2\right)^2-11$  

•  $y=-2\left(x-11\right)^2+2$  

•  $y=-2\left(x-2\right)^2+11$  

Which function below matches the graph above?

• $f\left(x\right)=\left(x-9\right)^2$

• $f\left(x\right)=\left(x+9\right)^2$

• $f\left(x\right)=x^2+9$

• $f\left(x\right)=x^2-9$

Tags

CCSS.HSF-IF.C.7A

The graph of y = x² + 1 could be?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A