Answer:
4.
a.) -7/6 (x + 4)(x - 3) = y
b.) -6/121 (x-8)^2 = y
c.) 1/6 (x-sqrt 7)(x + sqrt 7) = y
5.
a.) -13/36 (x+2)^2 + 5 = y
Explanation:
4. The intercept form of a quadratic equation is
, where a is a number determining things like if the parabola opens up or down and how wide or narrow the parabola, while p and q are the x-intercepts.
Because we're given the x-intercepts and a point on the parabola, we can simply plug everything in and solve for a to find the equation of the parabola:
a.):

b.):

c.):

5. The vertex form of a quadratic equation is
, where a is the same type of number as in the intercept form and (h, k) is the vertex.
Like the intercept form of the equation, we're given everything except a and thus we can plug in what we have and solve for a:
