Question

50 POINTS! Use the Parabola tool to graph the quadratic function.

f(x)=(x+4)^2 −6

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answer 1

See below ~

Explanation:

Given :

f(x) = (x+4)² − 6

f(x) = a(x + h)² + k

• The vertex of the graph is (-4, -6)
• Compressibility factor (a) is equal to 1

Another point on the parabola :

• Take x = 1
• f(1) = (1 + 4)² - 6
• f(1) = 25 - 6
• f(1) = 19
• The second point is (1, 19)

Graph :

Answer 2

General equation

• y=a(x-h)²+k

By observing y=(x+4)²-6

• Vertex is at (-4,-6)
• a is 1

So

The parabola graph is attached