Question

Write y² = 2(x − 2) in standard form?

a) y² = 4x - 8
b) y² = 2x - 4
c) y² = 8x - 4
d) y² = 2x + 4

Answer 1

The equation y² = 2(x − 2) can be expanded to y² = 2x − 4, which is already in the standard form for a parabola, making choice (b) correct.

Step-by-step explanation:

The question is asking to rewrite the equation y² = 2(x − 2) in standard form. Standard form for a quadratic equation is ax² + bx + c = 0. To achieve this, let's first expand the given equation:

y² = 2x − 4.

This expanded form matches one of the choices given in the question. So, the equation in standard form is simply y² = 2x − 4, which is choice (b).