Question

please helpType the correct answer in each box Use numerals instead of words, if necessary, use for the fraction bar(s) Determine the equation for the quadratic relationship graphed below. Submit Reset

Answer 1

From the graph, choose two points to find the values

choose (0, -1) and the vertex (1, -4)

the vertex formula of the quadratic equation is:

y = a(x – h)^2 + k

where the vertex is (h, k)

so, h = 1 and k = -4

so,

y = a (x - 1)^2 + (-4)

using the point (0, -1) to find a

so,

-1 = a ( 0 - 1)^2 - 4

a = -1 + 4 = 3

so,

y = 3(x - 1)^2 - 4

y = 3( x^2 - 2x + 1) - 4

y = 3 x^2 - 6x + 3 - 4

y = 3 x^2 - 6x - 1