Question

graph the function f(x) = 7(x + 4)². plot the vertex. then plot another point on the parabola. if you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.

Explanation:

Step1: Identify vertex form

The function \( f(x) = 7(x + 4)^2 \) is in vertex form \( f(x)=a(x - h)^2 + k \), where \( h=-4 \), \( k = 0 \), so vertex is \((-4,0)\).

Step2: Find another point

Choose \( x=-3 \), substitute into \( f(x) \): \( f(-3)=7(-3 + 4)^2=7(1)^2 = 7 \), so point is \((-3,7)\).

Step3: Plot points

Plot vertex \((-4,0)\) and \((-3,7)\) on the grid, then draw the parabola (opening upward, since \( a = 7>0 \)).

Answer:

Vertex: \((-4, 0)\), Another point: \((-3, 7)\) (plot these on the given grid to graph the function)