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Graphing
Vertex Form
Standard Form
Parabola Transformation
Quadratic Equation
100
This is the type of graph that a quadratic function forms.
Parabola
100
This is the formula of the vertex form of a quadratic function.
y = a(x-h)^2 + k
100
This is the maximum number of x-intercepts a quadratic function can have.
Two
100
In the vertex formula y = a(x - h)^2 + k, this value shows the horizontal translation.
What is h?
100
It is the formula for the discriminant of the quadratic equation.
What is b^2 - 4ac?
200
If the variable a<0, then the graph extends in this direction.
Downward
200
This is the vertex of the function y = 3(x + 4)^2 - 6
What is (-4, -6)?
200
When the domain is -5, this is the range value for y = x^2-32x-144.
What is 41?
200
Its the EXACT transformation for y = (x - 2)^2 - 8?
What is a horizontal translation right 2 units and a vertical translation down 8 units?
200
They are the roots determined by using the quadratic equation for y = 3x^2 + 10x - 5.
What are are .44 and -3.77?
300
The axis of a parabola is parallel to this axis.
Y-axis
300
This is(are) the roots of the function 0 = (x - 3)^2 - 16
What are 7 and -1?
300
These are(is) the root(s) for 0 = x^2 - 5x - 36.
What are -4 and 9?
300
Its the EXACT transformation for y = .5(x + 4)^2.
What is a horizontal translation left 4 units and a dilation?
300
They are the roots determined by using the quadratic equation for y = 7x^2 - 14x - 2.
What are -.13 and 2.13?
400
If the vertex of the parabola is (-4, 8), this is the axis of symmetry.
x = -4
400
This is(are) the roots of the function 0 = (x - 7)^2 - 28.
What are 1.71 and 12.29?
400
These are(is) the root(s) for 0 = x^2 - 3x - 40.
What are -5 and 8?
400
Its the EXACT transformation for y = -(x + 4)^2 + 1.
What is a horizontal translation 4 units left, 1 unit up and reflection over the vertex.
400
They are the roots determined by using the quadratic equation for y = 4p^2 - 25p - 21.
What are -.75 and 7?
500
If your roots are (-3,0) and (9,0), this is the x-coordinate of your vertex.
What is 3?
500
This is(are) the roots of the function 23 = 2(x -5) - 27
What are 0 and 10?
500
This is the vertex for the function y = x^2 + x - 20.
What is (-.5, -20.25)?
500
Its the EXACT transformation for y = -3(x + 4) - 3.
What is a narrowing of the parabola, horizontal translation 4 units left and 3 units down and reflection over the vertex.
500
They are the roots determined by using the quadratic equation for 2x^2 = 5x + 9.
What are -1.21 and 3.71?