Anonymous
Anonymous asked in Science & MathematicsMathematics · 3 months ago

# math problem?

What is the expression for this polynomial y = x^2 + 4x - 7 after being shifted to the right by 2.

Got this from a facebook group. The answer is y = x^2 - 11.

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• A shift of the axis 2 units to the right transforms

x to (x-2). y = x^2 +4x -7 = (x+2)^2 -11 becomes

y = x^2 -11.

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• y = x²+4x-7 shifted RIGHT by 2 units is

y₁ = (x-2)²+4(x-2)-7

y₁ = x²-4x+4 + 4x-8 - 7

y₁ = x²-11.............................ANS (see graphs below) • Login to reply the answers
• Using function notation, you have:

f(x) = x² + 4x - 7

To shift it 2 units to the right, solve for f(x - 2):

f(x - 2) = (x - 2)² + 4(x - 2) - 7

now simplify:

f(x - 2) = x² - 4x + 4 + 4x - 8 - 7

x's cancel out and leaves us with:

f(x - 2) = x² - 11

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• Hint: x --> x - a will shift the function a units.

Apply this principle to your question. What is "a" in your case? Hence the function becomes?

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