Quadratic Graphs
How many zeros (x-intercepts) can a quadratic function have?
What is 2, 1, or none?
The value of "a" for a graph of a quadratic function opening downward.
What is negative?
The coordinates of the y-intercept for the quadratic function:
y=-2x2 + 5x - 7
What is (0,-7)?
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
Write the equation of the quadratic equation with x intercepts of 3 and -2 that goes through the point (0,3) in factored form.
What is y=-1/2(x-3)(x+2)
The shape of the graph of a quadratic function.
What is a parabola?
The vertex of the quadratic function
y = 5x^2 + 10x - 2
is located at?
What is
(-1,-7)
Find the zeros (x-intercepts) of the following:
y = x2 - 8x - 20
x = 10 and x = -2
The vertex for this quadratic function:
y = x2 - 8x - 3
Write the equation of a parabola with vertex of (-2,1) through the point (-4,9).
What is y=2(x+2)^2+1
The name of the line that divides a quadratic function exactly in half.
What is the axis of symmetry?
The vertex of the function
y=-1/4(x+5)^2-6
What is (-5,-6)
Find the x-intercepts (zeros) of the function,
y=2x^2-7x-4
What is {-1/2,4}
The coordinates of the y-intercept and x-intercepts for the quadratic function:
y=3x2 + 2x - 1
What is y-intercept (0, -1) and x-intercepts (-1, 0) (0.33, 0)?
Write the equation of the quadratic that has a vertex of (-80,100) through the point (-64,-156)
What is y=-1(x+80)^2+100
The name of the point on a quadratic function that will be the maximum or minimum of the function.
What is the vertex?
What is the vertex of the equation
y=-2(x+1)(x-5)
(2,18)
Find the x and y intercepts of the function
y=1/4(x-2)(3x-1)
x intercept(s): (2,0), (1/3,0)
y-intercept: (0,1/2)
The y-intercept and vertex for this quadratic function:
y = -4.9x2 +16.4x + 1
What is the y-intercept (0, 1) and the vertex (1.7, 14.7)?
Write the equation of the quadratic that has x-intercepts of
(2/3,0), (-1/2,0)
That goes through the point (1,1) in factored form.
y=1/3(x-2/3)(x+1/2) or
y=1/3(3x-2)(2x+1)
The domain and range of a quadratic function that opens down.
What is D= (-oo,oo) ?
R=(-oo, y of vertex]
If John throws a ball from a 64 foot tall building, the height, y, (in feet), of the ball can be modeled by the function
y=-16t^2+48t+64
where t measures the time of the ball (in seconds). Find the time it takes for the ball to reach its Maximum and find the maximum height of the ball.
It will take 1.5 seconds to reach its max height of 100 feet.
Find the x and y intercepts of the function
y=3(x-1)^2-27
x-intercept(s): (-2,0), (4,0)
y-intercept: (0,-24)
The the graph for:
y = -5x2 +10x + 2
Vertex: (1, 7)
A of S: x = 1
y-intercept: (0, 2)
Write the equation of the parabola that goes through the points (0,4), (6,10) and (-4,20)
What is y=1/2x^2-2x+4