Question

Which equation represents a graph with a vertex at (–3, 2)?

y = 4x2 + 24x + 38
y = 4x2 – 24x + 38
y = 4x2 + 12x + 2
y = 4x2 + 16x + 13

Answer 1

`\large \bf \implies \: \boxed{ \tt{y = {4x}^(2) + 24x + 38}}`

Explanation:

`\bf \longrightarrow \: x = - (24)/(2 * 4) = - 3 \\ \\ \bf \longrightarrow \: y = \frac{4 * 4 * 38 - {24}^(2) }{4 * 4} = 2 \\ \\ \\ \bf \longrightarrow \: y = {4x}^(2) + 24x + 38`