Quadratic Transformation Quizizz

The vertex form of a quadratic function is y = a(x - h)² + k, the h ____________ the parent function left and right.

The vertex form of a quadratic function is y = a(x - h)² + k, if you subtract k then the graph shifts k units ___________.

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function

f(x)= x²

g(x)= 2x²

• Vertex moves 2 up

• Vertex moves 2 to the right

• Reflected over the x-axis

• The graph becomes more narrow (skinnier)

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function

f(x)= x²

g(x)= (x−3)²

• Vertex moves 5 up

• Vertex moves 3 down

• Vertex moves 3 to the right

• Stretched by a factor of 3

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function

f(x)= x²

g(x)= (x+2)² − 3

• The parabola translated 3 to the right and 2 up

• The parabola translated 2 to the left and 3 down

• The parabola stretched by a factor of 3 and moved 2 to the left

• The parabola compressed (shrunk) by a factor of 2 and moved 3 down

Describe the change shown in the equation. f(x) is the parent function and g(x) is the new function

f(x)= x²

g(x)= -x²

• The parabola translated 1 down

• The parabola compressed (shrunk) by a factor of ½

• The parabola translated reflected over the x-axis

• There was no change, the - does not matter

Find the equation of the parabola that has shifted

5 units to the right

• $y=x^2+5$

• $y=x^2-5$

• $y=\left(x+5\right)^2$

• $y=\left(x-5\right)^2$

Find the equation of the parabola that has translated

8 units down

• $y=x^2+8$

• $y=x^2-8$

• $y=\left(x+8\right)^2$

• $y=\left(x-8\right)^2$

Describe the parabola

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

• The parabola reflected across the x-axis.  It translated 5 units right and 2 units up

• The parabola opens up.  It translated 5 units right and 2 units up

• The parabola opens down .  It translated 5 units right and 2 units down
  

• The parabola opens down .  It translated 2 units left and 5 units down

Tags

CCSS.HSF-IF.C.7A

Which equation would shift the quadratic function

 $f\left(x\right)=x^2$  up 3 units and to the right 4 units.

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

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

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

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