Question

use the drawing tools to form the correct answer on the graph.

draw a line for the axis of symmetry of function (f). also mark the (x)-intercept(s), (y)-intercept, and vertex of the function.

(f(x) = -(x + 1)^2 + 4)

Explanation:

Identify the vertex and axis of symmetry

Using the Quadratic Vertex Form knowledge point

$$
LATEXBLOCK0
$$

Find the y-intercept

Evaluate the function at \(x = 0\):

$$
LATEXBLOCK1
$$

Find the x-intercepts

Set \(f(x) = 0\) and solve for \(x\):

$$
LATEXBLOCK2
$$

Answer:

To form the correct answer on the graph, plot and draw the following features:

• Vertex: \((-1, 4)\)
• Axis of Symmetry: Draw a vertical line at \(x = -1\)
• y-intercept: \((0, 3)\)
• x-intercepts: \((-3, 0)\) and \((1, 0)\)