HELP PLEASE ! find the area of the shape below
2 answers:
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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.
Answer:
Step-by-step explanation:
By knowing the slope of the line, and one point it has to go through, we can easily write the equation of the line by starting with the general form of a line in "point-slope" form. That is a line of slope "m" and going through the point on the plane, can be written in its "point-slope" form as:
and subsequently solving for "y" in the equation to get it in its "slope-intercept" form.
Therefore, in our case, with slope (m) equal to 3, and the point equal to (-1, 6), we get: