Question

use the drawing tools to form the correct answers on the graph. plot the vertex and the axis of symmetry of this function: f(x) = (x - 3)^2 + 5.

Explanation:

Step1: Identify vertex form

The function is in vertex form $f(x)=(x-h)^2+k$, where $(h,k)$ is the vertex.

Step2: Extract vertex coordinates

For $f(x)=(x-3)^2+5$, $h=3$, $k=5$. So vertex is $(3,5)$.

Step3: Find axis of symmetry

Axis of symmetry for $f(x)=(x-h)^2+k$ is $x=h$, so $x=3$.

Answer:

1. Plot the vertex at the coordinate $(3, 5)$ using the Point tool.
2. Draw a vertical dashed line $x=3$ using the Line tool to represent the axis of symmetry.