What is the possible range of y-values that, along with x=7 form a solution to the following inequality?
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Answer:
(-2,-36)
Step-by-step explanation:
<u>1) Find the zeros of the parabola</u>
The zero-product property states that any value, when multiplied by 0 will equal 0. Therefore, to make y=0, either (x-4)=0 OR (x+8)=0.
Therefore, x=4 and x=-8.
<u>2) Find the x-coordinate of the vertex</u>
To do this, we take the average of our zeros.
Therefore, the x-coordinate of the vertex is -2.
<u>3) Find the y-coordinate of the vertex</u>
Plug the x-coordinate back into the original equation
Therefore, the y-coordinate of the vertex is -36.
Therefore, the vertex of the parabola is (-2,-36).
I hope this helps!