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Section 2.1
Question 40
The vertex is (2, 3) = (h, k).
This means I need to write the parabola in standard form: f(x) = a(x - h)^2 + k.
The point given is (0, 2).
This mean f(0) = 2.
f(x) = a(x - 2)^2 + 3
2 = a(0 - 2)^2 + 3
2 = a(-2)^2 + 3
2 = 4a + 3
2 - 3 = 4a
-1 = 4a
-1/4 = a
f(x) = -(1/4)(x - 2)^2 + 3
Yes?
Question 40
The vertex is (2, 3) = (h, k).
This means I need to write the parabola in standard form: f(x) = a(x - h)^2 + k.
The point given is (0, 2).
This mean f(0) = 2.
f(x) = a(x - 2)^2 + 3
2 = a(0 - 2)^2 + 3
2 = a(-2)^2 + 3
2 = 4a + 3
2 - 3 = 4a
-1 = 4a
-1/4 = a
f(x) = -(1/4)(x - 2)^2 + 3
Yes?
