Quadratic
Inequalities
Inequalities
Transformations Info
Transformations from Graphs/Equations
Vertex form
Equations from Transformations
100
Is the point (0, 0) a solution to the following quadratic inequality?
y=x^2+2x-6
Yes (True)
100
A negative a value does what to a parabola
Vertical reflection
100
The transformation that occurs in the quadratic function
f(x)=(x-3)^2
Horizontal translation right 3 units
100
Write the function in vertex form: y= x^2 +2x+5
y= (x+1)^2 +4
100
A quadratic function that has been vertically shifted up 3 units
y=x^2+3
200
Is the point (–2, 3) a solution to the following quadratic inequality? y ≥ x^2 + 2x + 3
Yes (True)
200
The h value of a parabola does what to it?
Translation left or right/Horizontal translation
200
The transformation that occurs in the quadratic function
f(x)=2x^2
Vertical stretch (scale factor = 2)
200
Write the function in vertex form: y = -x^2+2x+2
y= -(x-1)^2 +3
200
A quadratic function that has been horizontally shifted left 6 units
y=(x+6)^2
300
Graph
y<x^2
See whiteboards
300
The k value does what to a parabola?
Translation up and down/Vertical translation
300
The transformations from the parent function to the graph shown below
Reflection over the x-axis, a horizontal shift right 3 units, and a vertical shift up 2 units
300
Write the function in vertex form: y = -5x^2 +12
y = -5x^2 +12
300
A quadratic function that has been horizontally shifted right 2 units and vertically shifted down 5 units
y=(x-2)^2-5
400
Solve the inequality.
2x^2 + 3x <= 2
–2 ≤ x ≤ 1/2
400
If |a|>1, what transformation occurs?
Vertical stretch
400
The Transformations that Occur in the Quadratic Function
f(x)=1/3(x+2)^2-4
Horizontal translation left 2, vertical compression of 1/3, and a vertical translation left down 4
400
Write the function in vertex form: y=4x^2 + 7x
y=4(x+7/8)^2-49/16
400
A quadratic function that has been vertically shifted down 3 units, horizontally shifted left 6 units, and reflected over the x-axis
y=-(x+6)^2-3
500
Solve the inequality.
2x^2 + 2 > -5x
{x|x < –2 or x > –1/2}
500
If |a|<1, which transformation occurs?
Vertical compression
500
The transformations that occur in the quadratic function
f(x)=-5(x-3)^2+6
Horizontal translation right 3 units, reflection across the x-axis, a vertical stretch of 5, and a vertical translation up 6 units?
500
Write the function in vertex form:
y = 2x^2 + 8x -3
Find the maximum or minimum
y = 2(x + 2)^2 -11
Minimum = -11
500
A quadratic function that has been reflected over the x-axis, has been vertically stretched by a factor of 3, and has a vertex at (3,5)
y=-3(x-3)^2+5