Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

Trending News

Promoted
chansai
chansai asked in Science & MathematicsMathematics · 4 weeks ago

Find the slope and equation of the tangent line to the graph of g(x)=x^2+2x+1 on the point (2,9)?

1 Answer

Relevance
  • billrussell42
    Lv 7
    4 weeks ago

    g(x) = x² + 2x + 1

    g' = 2x + 2 (this is the equation of the slope/tangent)

    point 2,9

    g(x) = x² + 2x + 1

    first, is this on the curve

    9 = 2² + 2•2 + 1 = 9

    yes

    slope at x = 2

    g' = 2•2 + 1 = 5

    straight line would have the same slope, 5

    so eq is

    y = 5x + k

    use point to get k

    9 = 5•2 + k

    k = –1

    so eq is

    y = 5x – 1

    Attachment image
Still have questions? Get your answers by asking now.