2. In factored form, a quadratic function can be written as y= (-2- x) (x-8). This parabola goes through the points (-2, 0) and

Question

2 years ago

11

(8, 0). Use your knowiedge of the symmetry of the parabola to find the vertex. Show all work. 4 marks
show the parabola please

1 answer:

Trava [24] · Answer 1 · 2023-11-15T21:12:09+03:00

The vertex of the given parabola is the point (3, 25).

<h3>How to get the vertex of the parabola?</h3>

If the parabola has roots x₁ and x₂, then the vertex of the parabola is at:

xₙ = (x₁ + x₂)/2

Here the parabola is:

y = (-2 - x)*(x - 8)

We can rewrite that to:

y = -(x + 2)*(x - 8)

Then the two roots are:

x = -2 and x = 8

Then the vertex is at:

xₙ = (8 - 2)/2 = 6/2 = 3

To get the y-value of the vertex, we evaluate the equation in x = 3:

y = -(3+ 2)*(3 - 8) = -5*(-5) = 25

The vertex is (3, 25).

If you want to learn more about parabolas:

#SPJ1