Transformations Vertex
Describe the following transformation
y = -(x – 2)2
-Flipped
-Right 2
Write the equation for the function y = x2 with the following transformation
reflect across the x-axis, shift down 1
y=-x2-1
Three other words that mean "x-intercept"
Solutions, Zeros, Roots
What is the roots for the equation
y=-(x-1)2+25
x={-4,6}
A parabola is ______.
The "U" shape that a quadratic function has on a graph"
Describe the following transformation
y = (x + 3) 2 -1
-Left 3
-Down 1
Write the equation for the function y = x2 with the following transformation
vertically stretch by a factor of 3, shift right 5 and up 1
y=3(x-5)2+1
Given the vertex (4,8)
what is the axis of symetry?
x=4
What is the roots for the equation
x2+10x=24
x={-12,2}
A vertex is _____
The turning point in a parabola.
Describe the following transformation
y = 1/3(x + 2) 2 + 3
-Compress
-Left 2
-Up 3
Write the equation for the function y = x2 with the following transformation
reflect across the x-axis , shift down 8
y=-x2-8
if the vertex of a positive quadratic function is (0,9), what is the range?
y>9
What is the roots for the equation
4x2+5=6
x={-1/2,1/2}
A parent function is____.
The original equations of a function.
Describe the following transformation
-1/2(x – 1) 2 + 3
-Flipped
-Compress
-Right 1
-up 3
Write the equation for the function y = x2 with the following transformation
vertically stretch by a factor of 4, shift left 3 and up 2
y=4(x+3)2+2
if the vertex of a negative quadratic function is (5,-7), what is the range?
y<-7
What is the roots for the equation
x2+15=23
x={-2.8 , 2.8 }
A maximum is ________.
A minimum is _________.
A maximum is when the vertex is at the highest point.
A minimum is when the vertex is at the lowest point.
Describe the following transformation
y = -6/5(x – 1) 2 - 9
-Flipped
-Stretch
-Right 1
-Down 9
Write the equation for the function y = x2 with the following transformation
vertically stretch by a factor of 4, shift left 3 and up 2
y=4(x+3)+2
if the vertex of a negative quadratic function is (-3,12)
1)what is the range?
2)axis of symetry
y<12
x=-3
What is the roots for the equation
x2+18x=4x-49
x={ -7 }
An axis of symetry is _______.