Question

Can somebody help me with 2.) C? Thx, this is Algebra 2.

Answer 1

Step 1 :

We need to list the transformation for the equation,

`y\text{ = -}(1)/(5)x^2\text{ -3}`

compared to the parabola parent function,

`y=x^2`

Step 2 :

We need to graph the function,

`\begin{gathered} y\text{ = -}(1)/(5)x^2\text{ - 3} \\ \text{compared to the parabola parent function, y =x}^2 \end{gathered}`

Step 3 :

The graph is as shown below:

Step 4 :

Based on the two graphs, we can see that:

The transformations are Reflection, Vertical Shift and Vertical Compression.