Explain why the square root of 64 has a positive and a negative value.
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Problem 9
The instructions aren't stated anywhere, but I'm assuming your teacher wants you to find the equation of each parabola.
The vertex here is (h,k) = (-6,-4) which you have correctly determined.
This means
Next we plug in one of the other points on the parabola. We cannot pick the vertex again. Let's pick the point (-4,0) which is one of the x intercepts. We'll do this to solve for 'a'
This means
represents the equation of the parabola in vertex form.
<h3>Answer:========================================================
Problem 10
The vertex is (h,k) = (-2,-6)
So,
Now plug in another point on the parabola like (-1,-8) and solve for 'a'
For each equation, you could optionally expand things out to get it into y = ax^2+bx+c form, but I think it's fine to leave it as vertex form.