Answer:
Graph h(x)=(x−2)(x−4) is a parabola with vertex (3,-1) and the points on the parabola are (2,0) and (4,0).
Step-by-step explanation:
clearly the graph of the equation of the given function: h(x)=(x−2)(x−4) is a upward parabola whose vertex is (3,-1).
the graph of the function h(x) is attached to the answer.
The points on the parabola are: (2,0), (4,0) which are also the x-intercepts of the graph.
The point of the vertex is (3, -1).
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.
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).
More about the parabola link is given below.
https://brainly.com/question/8495268
