Question

X = 2t – 1
y = t2 + 5, -4 ≤ t ≤ 4
Graph this please

Answer 1

y = x²/4 + x/2 + 21/4 ⇒ -9 ≤ x ≤ 7

Explanation:

∵ x = 2t - 1

∴ 2t = x + 1 ⇒ t = (x + 1)/2

∵ y = t² + 5

∴ y = [(x + 1)/2]² + 5 = (x² + 2x + 1)/4 + 5

y = x²/4 + x/2 + 1/4 + 5 = x²/4 + x/2 + 21/4

∵ -4 ≤ t ≤ 4

∴ -9 ≤ x ≤ 7