The function h(x) is defined by the expression x2 - 4x + 3. Use factoring
1 answer:
Answer:
The zeros are x = 1 and x = 3
In the picture attached, the graph of the function is shown. The zeros are those points where h(x) intersect x-axis.
Step-by-step explanation:
Given the expression:
x² - 4x + 3
Rewrite -4x term:
x² - x - 3x + 3
Take x as common factor in the first terms, and -3 in the last terms:
x(x - 1) - 3(x - 1)
Take (x - 1) as common factor:
h(x) = (x - 1)(x - 3)
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Answer: Option D
Step-by-step explanation:
For a quadratic function of the form
The x coordinate of the vertice is:
In this case the function is:
So
The x coordinate of the vertice is:
The y coordinate of the vertice is:
The vertice is: (-3, -11)
The form e vertice for a quadratic equation is:
Where
the x coordinate of the vertice is h and the y coordinate of the vertice is k.
Then h=-3 and k =-11
Finally the equation in vertex form is: