What is the equation in vertex form for the function?
The vertex form is (-3, -4) and (-2, -3)
Explain it in 5 easy steps
Step 1: Write the general vertex form equation, which is y = a(x - h)^2 + k, where (h,k) is the vertex.
Step 2: Plug the given vertex coordinates (-3, -4) into the vertex form equation to determine the value of a.
-4 = a(-3 - (-3))^2 + (-4)
-4 = a(0)^2 - 4
-4 = -4a
a = 1
Step 3: Substitute the value of a back into the vertex form equation.
y = 1(x - (-3))^2 - 4
y = (x + 3)^2 - 4
Step 4: Substitute one of the given points (-2, -3) into the equation to verify it satisfies the equation.
-3 = (-2 + 3)^2 - 4
-3 = (1)^2 - 4
-3 = 1 - 4
-3 = -3
Step 5: Therefore, the equation in vertex form for the function is y = (x + 3)^2 - 4.