Quadratic Graphs
Quadratic Properties
What's the point?
Quadratic Functions II
Mish-Mash
100
What is the name of the line that divides a quadratic function exactly in half?
The axis (or line) of symmetry
100
The "c" value in standard form tells you which charateristic of the graph?
y-intercept
100
The coordinates of the y-intercept for the quadratic function:
y=-2x2 + 5x - 7
What is (0,-7)?
100
If the x-intercepts of a function are x = 6 and x=12, what is the Axis of Symmetry (x-value of the vertex)?
x = 9
100
The y component of the vertex can be found by plugging the _______ back into the original quadratic equation.
Axis of symmetry (x)
200
What is the name of the point on a quadratic function that will be the maximum or minimum of the function?
The vertex
200
Is the vertex of the quadratic function y = 5x2 + 10x - 2 a maximum or minimum point?
It's a minimum
200
Find the zeros (x-intercepts) of the following:
y = x2 - 8x - 20
x = 10 and x = -2
200
The vertex for this quadratic function:
y = x2 - 8x - 3
What is (4, -19)?
200
A quadratic function has axis of symmetry x=3. (1, 15) is a point on the graph. Name another point on the graph.
(5, 15)
300
How many zeros (x-intercepts) can a quadratic function have? List all possibilities.
2, 1, or none
300
Order the following quadratic functions from narrowest to widest:
y=4x2 y=-12x2 y=11x2 y=-2x2
What is y=-12x2, y=11x2, y=4x2, y=-2x2?
300
Find the coordinates of the y-intercept for the quadratic function:
y=(3x-1)(x+1)
Y-intercept (0, -1)
300
Rewrite y= x2 + 12x +32 in factored form.
y = (x+4)(x+8)
300
What properties does factored form tell us about parabolas?
x-intercepts
400
What is the standard form of a quadratic equation?
y = ax2 + bx + c
400
Order the following quadratic functions from widest to narrowest:
y=4x2 y=2/3 x2 y=-2x2 y= x2
What is y=2/3 x2, y= x2, y=-2x2, y=4x2
400
Find the vertex for the quadratic function:
y = x2 + 10x + 6
What is (-5, -19)
400
Find the y-intercept and vertex for this quadratic function (round to nearest tenth).
y = -4.9x2 +16.4x + 1
The y-intercept (0, 1) and
the vertex (1.7, 14.7)
400
What is the point on this function where x=7?
y = -x2 + 3x
(7, -28)
500
What is the vertex form of a quadratic equation? What are the coordinates of the vertex?
y = a(x - h)2 + k and the vertex is (h,k)
500
How would I write y = x2 to shift it two spaces up?
y = x2+2
500
The coordinates of the vertex for this quadratic function:
y = -3(x-2)2+4
What is (2, 4)?
500
If the x-intercepts of a function are x = 6 and x=-12, what is the Axis of Symmetry (x-value of the vertex)?
x=-3
500
What is the equation of the function below in standard form?
y = x2 + x - 6