Question

Write the equation of each graph. Will give Brainliest to correct answer!

Answer 1

Answer:

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

b. $y = \frac{1}{2} (x-2)^2-3$

Step-by-step explanation:

a. Vertex is (-1, 4)

so you get

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

plug in (1, 0) and get the a value

$0 = a(1+1)^2+4\\0 = a*2^2 + 4\\0 = 4a + 4\\-4 = 4a\\a = -1$

final eq:

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

b. Vertex is (2, -3)

so you get

$y = a(x-2)^2-3$

plug in (0, -1) and get the a value

$-1 = a(0-2)^2-3\\-1 = a*(-2)^2 -3\\-1 = 4a -3\\2 = 4a\\a = \frac{1}{2}$

final eq:

$y = \frac{1}{2} (x-2)^2-3$