#8.1 Graphing f(x) = ax^2

What is the equation for axis of symmetry?

• y=3
• x=3
• x=5
• x=1

What is the vertex?

• (2, 4)
• (3, -1)
• (0, 8)
• (4, 2)

What is the domain?

• All real numbers

• y ≥ − 5.2

• y ≤ − 5.2

• x = − 5

What is the range?

• All real numbers

• y ≥ − 5.2

• y ≤ − 5.2

• x = − 5

When is the function decreasing?

• x > 1

• x > − 1

• x < 1

• x < − 1

When is the function increasing?

• x > 1

• x > − 1

• x < 1

• x < − 1

Which choice describes the transformation of the parent function  $f\left(x\right)=x^2$  to  $g\left(x\right)=0.45x^2$  

• Vertical stretch by 0.45 (more narrow)

• Vertical shrink by 0.45 (wider)

• Reflection over x-axis

• None of these

Which choice describes the transformation of the parent function $f\left(x\right)=x^2$  to  $g\left(x\right)=-3x^2$   ?

• Reflection over x-axis and Vertical shrink by 3

• Reflection over x-axis

• Reflection over x-axis and Vertical stretch by 3

• Vertical stretch by 3

How does the graph of $h\left(x\right)$  shown here compare to the graph of the parent function  $f\left(x\right)=x^2$  (not shown).

• Vertical shrink by a factor of  $\frac{1}{4}$  

• Vertical stretch by a factor of  $\frac{1}{4}$  

• Reflection over x-axis

• None of these

What could be a possible value of $a$  in  $g\left(x\right)=ax^2$  ?

•  $2$  

•  $-2$  

•  $\frac{1}{2}$  

•  $-\frac{1}{2}$