promotion image of download ymail app
Promoted
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.

4 Answers

Relevance
  • Philip
    Lv 6
    3 months ago

    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.

    • Commenter avatarLogin to reply the answers
  • ?
    Lv 7
    3 months ago

    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)

    Attachment image
    • Commenter avatarLogin to reply the answers
  • 3 months ago

    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

    • Commenter avatarLogin to reply the answers
  • rotchm
    Lv 7
    3 months ago

    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?

    • Commenter avatarLogin to reply the answers
Still have questions? Get your answers by asking now.