Vocabulary
Every quadratic equation has a U-shaped graph called this.
What is parabola?
Convert f(x) = (x + 4)^2 + 1 to standard form.
f(x) = x^2 + 8x + 17
The vertex of a quadratic equation in vertex form.
What is (h,k)?
Given y = (x - 3)(x + 4) , find the x-intercepts.
What are (3,0) and (-4,0)?
This graph is increasing over these x-values:
f(x) = (x - 8)^2 + 4
What is x > 8 ?
Convert y = 2(x - 3)^2 + 1 to standard form.
y = 2x^2 - 12x + 19
Convert y = -3(x + 2)^2 + 4 to standard form.
What is y = -3x^2 - 12x - 8 ?
If y = 2(x - 1)(x - 5) , determine the axis of symmetry.
What is x = 3 ?
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Identify the direction of opening for y = -x^2 + 4x - 3 .
What is opens downward?
Find the y-intercept of g(x) = -x^2 + 4x + 1
What is (0,1)?
For y = -3(x + 4)^2 + 7 , determine the axis of symmetry.
What is x = -4 .
Given y = x(x - 5) , find the x-intercepts.
What are (0,0) and (5,0) ?
This equation models height of an object over time. Find the maximum height. h(t) = -0.5t^2 + 4t ?
What is 8 ?
The line that runs through the vertex and divides the parabola in half.
What is axis of symmetry?
Determine the axis of symmetry for y = 2x^2 - 8x + 3 .
What is x = 2?
Given y = -2(x - 1)^2 + 5 , find the y-intercept.
What is (0,3)?
Find the vertex of y = - (x + 4)(x - 4) ?
What is (0,16) ?
Solve (x - 3)^2 = 4
What are x=1 and x=5 ?
Write an equation that opens downward, is vertically stretched by 3, and has a vertex at (9 , 3)
What is y = - 3 (x-9)^2 + 3 ?
Determine the vertex for h(x) = 2x^2 - 8x + 3 .
What is (2, -5)?
Determine the y-intercept of y = a(x - h)^2 +k .
What is (0, ah^2 + k) ?
The maximum value of f(x) = -2 (x - 1)(x + 3) .
What is y = 8 ?
A divers height in yards over time in seconds is modeled by h(t) = -5t^2 + 20t + 10. How tall is the diving board?
What is 10 yards?