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Find the equation of the quadratic function whose graph is shown below. Given two points. Vertex= (-5,-5) Passes Through (-7,3)

User Shiva Wu
by
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1 Answer

3 votes

Key Ideas:

  • Finding a quadratic equation

Solving the Question

We're given:

  • Vertex= (-5,-5)
  • Passes Through (-7,3)

One of the forms of a quadratic equation is vertex form:


y=a(x-h)^2+k

  • a = vertical stretch
  • h = horizontal translation
  • k = vertical translation
  • (h,k) is the vertex

Plug in the vertex:


y=a(x-h)^2+k\\y=a(x+5)^2-5

Plug in the given point and solve for a:


3=a(-7+5)^2-5\\3=a(-2)^2-53=4a-5\\8=4a\\a=2

Plug 2 into the equation as a:


y=2(x+5)^2-5

Answer


y=2(x+5)^2-5

User Naijaba
by
7.7k points

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