What is the equation for g, which is f(x) = 2x2 + 3x − 1 reflected across the y-axis? Group of answer choices g(x) = −2x2 − 3x −

Question

1 month ago

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1 g(x) = 2x2 + 3x − 1 g(x) = −2x2 − 3x + 1 g(x) = 2x2 − 3x − 1

1 answer:

Leona [12.6K] · Answer 1 · 2026-03-07T17:45:54+03:00

7 0

Answer:

$g(x) = 2x^2 - 3x - 1$

Step-by-step explanation:

Given

$f(x) = 2x^2 + 3x - 1$

Required

To find g(x), where f(x) is flipped across the y axis.

Reflecting a function (x,y) across the y axis changes it to (−x,y).

In other words,

$g(x) = f(-x)$

Calculating f(-x)

$f(-x) = 2(-x)^2 + 3(-x) - 1$

$f(-x) = 2x^2 - 3x - 1$

Substituting g(x) in place of f(-x)

$g(x) = 2x^2 - 3x - 1$

Thus;

$g(x) = 2x^2 - 3x - 1$