Transformations & Quadratic Formula Review

If the original function is

 $f\left(x\right)=x^2$  and the transformed function is  $f\left(x\right)=\left(x-5\right)^2+6$ , describe the transformation.

• Left 5, down 6

• Right 5, down 6

• Left 5, up 6

• Right 5, up 6

If the original function is

 $f\left(x\right)=x^2$  and the transformed function is  $f\left(x\right)=\left(x+8\right)^2+1$ , describe the transformation.

• Left 8, down 1

• Right 8, down 1

• Left 8, up 1

• Right 8, up 1

Given  $f\left(x\right)=x^2$  and is transformed right 3 units, which function represents $g\left(x\right)$ ?

•  $g\left(x\right)=x^2-3$  

•  $g\left(x\right)=x^2+3$  

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

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

In the graph, red is the original function and blue is the transformed function.

What is the equation for the transformed function?

• $g\left(x\right)=\left(x-2\right)^2+6$

• $g\left(x\right)=\left(x+2\right)^2+6$

• $g\left(x\right)=\left(x-2\right)^2-6$

• $g\left(x\right)=\left(x+2\right)^2-6$

If the original function is

 $f\left(x\right)=x^2$  and the transformed function is  $f\left(x\right)=-\frac{9}{4}x^2$ , describe the transformation.

• Reflected across the x-axis, and a vertical compression by $\frac{9}{4}$  

• Reflected across the x-axis, and a vertical stretch by $\frac{9}{4}$  

• Vertical stretch by $\frac{9}{4}$  

• Vertical compression by $\frac{9}{4}$  

If the original function is

 $f\left(x\right)=x^2$  and the transformed function is  $f\left(x\right)=\frac{3}{5}x^2$ , describe the transformation.

• Reflected across the x-axis, and a vertical compression by $\frac{3}{5}$  

• Reflected across the x-axis, and a vertical stretch by $\frac{3}{5}$  

• Vertical stretch by $\frac{3}{5}$  

• Vertical compression by $\frac{3}{5}$  

Given  $f\left(x\right)=x^2$  and is vertically stretched by $\frac{7}{6}$ , which function represents $g\left(x\right)$ ?

•  $g\left(x\right)=\left(x-\frac{7}{6}\right)^2$  

•  $g\left(x\right)=-\left(x+\frac{7}{6}\right)^2$  

•  $g\left(x\right)=\frac{7}{6}x^2$  

•  $g\left(x\right)=-\frac{7}{6}x^2$  

In the graph, red is the original function and blue is the transformed function.

What is the equation for the transformed function?

• $g\left(x\right)=5x^2$

• $g\left(x\right)=-5x^2$

• $g\left(x\right)=-\frac{1}{5}x^2$

• $g\left(x\right)=\frac{1}{5}x^2$

Solve for x.

 $2x^2-x=6$  

•  $x=2,\ -\frac{3}{2}$  

•  $x=-2,\ \frac{3}{2}$  

•  $x=\frac{1\pm\sqrt{50}}{4}$  

•  $x=\frac{-1\pm\sqrt{50}}{4}$  

Tags

CCSS.HSA-REI.B.4B

Solve for x.

 $5x^2+6x-2=0$  

•  $x=\frac{2}{5},\ \frac{4}{5}$  

•  $x=-\frac{2}{5},\ -\frac{4}{5}$  

•  $x=\frac{-6\pm\sqrt{76}}{10}$  

•  $x=\frac{6\pm\sqrt{76}}{10}$  

Tags

CCSS.HSA-REI.B.4B