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Unit 8 Quadratics Quiz Review

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  • Convert the following quadratic equation from standard form to vertex form. f(x)=x^2-6x+12
    f(x) = (x - 3)^2 + 3
  • State the interval of decrease for the following function.
    x<-1
  • Convert the following quadratic equation from standard form to vertex form. f(x)=x^2+10x+30
    f(x) = (x + 5)^2 + 5
  • Convert the following quadratic into standard form. f(x) = 2(x + 2)^2 - 3
    2x^2+8x+5
  • To convert the following function into vertex form, what number would you add/subtract to complete the square? f(x)=x^2-4x+1
    3
  • Explain in detail how you would graph the following function. f(x)=3(x-1)^2+2
    Plot the vertex at (1,2), use the 3-9-15 rule opening up to plot the remaining points.
  • State the interval(s) of negativity for the following function.
    x<-4, x>2
  • What version of the 1-3-5 rule is used when graphing the following quadratic? f(x)=2x^2+5x+6
    2-6-10 Rule
  • State the interval(s) of negativity for the following function.
    -4<x<2
  • Convert the following quadratic into standard form. f(x) = - (x - 4)^2 + 1
    -x^2+8x-15
  • What is the vertex of the following quadratic function? f(x)=x^2+8x+11
    (-4,-5)
  • State the axis of symmetry for the following function.
    x=-1
  • Convert the following quadratic into standard form. f(x) = (x + 1)^2 - 5
    x^2+2x-4
  • Convert the following quadratic equation from standard form to vertex form. f(x)=2x^2-16x+20
    f(x) = 2(x - 4)^2 - 12
  • State the y-intercept of the following function.
    (0,-8)
  • What number would you replace with c in order to create a perfect square trinomial? f(x)=x^2+14x+c
    49
  • State the interval of increase for the following function.
    x>-1
  • State the zeros of the following function.
    (-4,0) (2,0)
  • Describe the shifts that occurred to the following functions. f(x)=(x+3)^2-6
    Horizontal shift left 3, vertical shift down 6.