Answer :
f(x) = a(x-h)² + k
Given that the vertex is (-3 -6):
f(x) = a(x + 3)² -6
Given that it passes through (0.0), find a:
a(0 + 3)² - 6 = 0
9a - 6 = 0
9a = 6
a = 6/9 =2/3
So the equation is :
f(x) = 2/3(x + 3)² -6
Write the equation in standard form:
f(x) = 2/3(x² + 6x + 9) - 6
f(x) = 2/3x² + 4x + 6 - 6
f(x) = 2/3x² + 4x
Answer: f(x) = 2/3x² + 4x
Given that the vertex is (-3 -6):
f(x) = a(x + 3)² -6
Given that it passes through (0.0), find a:
a(0 + 3)² - 6 = 0
9a - 6 = 0
9a = 6
a = 6/9 =2/3
So the equation is :
f(x) = 2/3(x + 3)² -6
Write the equation in standard form:
f(x) = 2/3(x² + 6x + 9) - 6
f(x) = 2/3x² + 4x + 6 - 6
f(x) = 2/3x² + 4x
Answer: f(x) = 2/3x² + 4x