Question

Use the parabola tool to graph the quadratic function f(1) = x² + 100 + 24 Graph the parabola by first plotting its vertex and then plotting a second point on the parabola

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Answer 1

Vertex is (-5, -1)

(-3, 3) is a point on the parabola.

Explanation:

f(x) = x² + 10x + 24

Let (h, k) be the vertex

h = -b/2a = -10/2(1) = -5

k = f(-5) = (-5)^2 + 10(-5) + 24

= 25 - 50 + 24 = -1

Vertex is (-5, -1)

Now, let x be some value different than -5, say -3

f(-3) = (-3)^2 + 10(-3) + 24

= 9 - 30 + 24 = 3

So, (-3, 3) is a point on the parabola.