25 POINTS~!!! Graph h(x)=−x^2+8. Use the parabola tool then choose the vertex followed by one point on the parabola.

The point of the vertex is (3, -1).

Parabola

Parabola is the locus of a point that moves so that it is always the same distance from a fixed point and fixed-line. The fixed point is called the focus and the fixed line is called the directrix. And the equation will be quadratic.

Quadratic equation

Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation. The general form of the quadratic equation is ax² + bx + c.

Given

h(x)=(x−2)(x−4) is equation of parabola.

To find

The point of the vertex.

How to find the point of the vertex?

h(x)=(x−2)(x−4)

simplify the equation

h(x) = x² - 6x + 8

Then add and subtract 9.

h(x) = x² - 6x + 9 - 9 + 8

h(x) = (x -3)² -1

Then the point of the vertex is (3, -1).

Step-by-step explanation:

part a: 1.08

part b: 27.59