Answer:
a) g(x) = f(x) + 3
So g(x) is a vertical translation of f(x), 3 units upwards
b) g(x) = 3x² - 1 + 3
g(x) = 3x² + 2
The graph has shifted 3 units upwards, so has the vertex.
The vertex of f is (0,-1)
Whereas the vertex of g is (0,2)
-1 + 3 = 2
You would have to add x1 + x2 and divide by 2. do the same with y1 and y2.
(1/2,-1/2)
I’m eating chips rn . Maybe later
2x² - 128
2(x² - 64), but (x² - 64) = x² - 8² (difference of 2 squares),[a²-b²=(a-b)(a+b)]
2(x² - 64) = 2(x² - 8²) = 2(x-8)(x+8)
L = 6 a^2 b, W = 3 a b
The area of a rectangle:
A = L x W =
= 6 a² b · 3 a b = 18 a³ b²
