Answer:
A. The curve is a parabola with a vertex at (3,-4) and is traced from left to right for increasing values of t.
Step-by-step explanation:
x = 3 + t
y = t² − 4
Eliminating the parameter:
t = x − 3
y = (x − 3)² − 4
This is an upwards parabola with a vertex at (3, -4).
x = 3 + t, so as t increases, x increases.
So the curve is traced from left to right.
Answer:
=x^2 +4x+11
Step-by-step explanation:
f(x) = x^2 + 7,
Replace x with x+2
f(x+2) = (x+2)^2 + 7
= (x+2)(x+2) +7
FOIL
= x^2 +2x+2x+4 +7
Combine like terms
=x^2 +4x+11
True because they have the same size angles
