Answer:
a) y = 2(x + 3)² - 7
b) y = -2(x + 4)² + 6
c) y = 3(x - 7)² + 4
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k where
"a" is the vertical stretch
(h, k) is the vertex
(x, y) is any point on the curve
Input (h, k) and (x, y) to solve for "a"
a) (h, k) = (-3, 7) and (x, y) = (-2, -5)
-5 = a(-2 + 3)² - 7
2 = a(1)²
2 = a
y = 2(x + 3)² - 7
b) (h, k) = (1, 3) and (x, y) = (2, 5)
5 = a(2 - 1)² + 3
2 = a(1)²
2 = a
y = 2(x - 1)² + 3
c) (h, k) = (-4, 6) and (x, y) = (-2, -2)
-2 = a(-2 + 4)² + 6
-8 = a(2)²
-8 = 4a
-2 = a
y = -2(x + 4)² + 6
d) (h, k) = (7, 4) and (x, y) = (5, 16)
16 = a(5 - 7)² + 4
12 = a(-2)²
12 = 4a
3 = a
y = 3(x - 7)² + 4
Step-by-step explanation:
Hope this helps:)
