Standard Form
What part of standard form tells you the y-intercept?
What is c?
What point does (h, k) represent?
What is the vertex?
What is the axis of symmetry?
What is a vertical line through the vertex?
Factor: x² − 9
What is (x+3)(x-3)?
What does the sign of “a” tell you about the parabola?
What is if it opens up or down?
State the vertex of:
f(x) = 4(x + 1)² − 7
What is (−1, −7)?
What is the domain of any quadratic function?
What is all real numbers?
Factor: x² + 5x + 6
What is (x + 2)(x + 3)?
Find the axis of symmetry of:
f(x) = 2x² − 8x + 1
What is x = 2?
Does f(x) = −2(x − 5)² + 3 open up or down?
What is down?
What determines if a parabola is narrow or wide?
What is the value of a?
Solve: 2x² − 8 = 0
What are x = 2 and x = −2?
Find the vertex of:
f(x) = x² − 6x + 5
What is (3, −4)?
Write the quadratic with vertex (3, −2) that opens up with a = 1.
What is f(x) = (x − 3)² − 2?
Find the maximum or minimum of (vertex):
f(x) = −(x − 4)² + 6
What is the maximum of 6?
Solve using quadratic formula:
x² + 2x − 3 = 0
What are x = 1 and x = −3?
Rewrite in standard form:
f(x) = −3(x − 2)² + 4
What is f(x) = −3x² + 12x − 8?
Convert to vertex form:
f(x) = x² + 4x + 1
What is f(x) = (x + 2)² − 3?
If a > 0, what type of vertex does this graph have? ex. Up or Down
What is a minimum?
The height of a ball is modeled by
h(t) = −16t² + 32t + 5.
What does 5 represent?
What is the initial height?