Vocab
A flip or mirror image of a function usually about the x-axis, y-axis, or both the x and y axes.
What is a reflection?
y = (x+2)2 - 8
What is a translation left 2 and down 8?
A square root function has been reflected over the y-axis and translated down 2.
What is y = sqrt(-x) - 2 ?
An absolute value with a horizontal stretch of 1/4 and a reflection over the x-axis.
What is y = -|x/4|?
(x-2)2 + (y+9)2 = 4
What is a circle with a center of (2,-9) and a radius of 2?
y = -(x-2)2
What is a reflection over the x-axis and a translation right 2?
y = 4sqrt(x+3) + 5
What is a square root function that has been translated left 3, up 5, and stretched vertically by 4?
y = 2|x+8|+8
What is an absolute value function that has been translated left 8 and up 8 with a vertical stretch of 2?
A circle with center (4,0) and a radius of 6.
What is (x-4)2 + y2 = 36?
A parabola has been reflected over the x-axis, stretched vertically by 2, translated left 1, and up 8.
What is y = -2(x + 1)2 + 8?
A square root function has been reflected over the y-axis, shifted left 3 and vertically shrunk by 1/5.
What is y = 1/5sqrt(-x-3)?
y = |(x-2)/3| - 2
What is an absolute value function with a horizontal stretch (1/3) and a translation right 2 and down 2?
The old circle has a radius of 6 and bold circle has a radius of 9.
What is a scale factor of 3/2?
A parabola has been translated left 2, reflected over the x-axis, and translated down 3.
What is y = -(x+2)2 -3?
y = -5 sqrt(x+3)-8
What is a square root function that has a reflection over x, a vertical stretch by 5, and a translation of left 3 and down 8?
An absolute value function has been reflected over x, shifted left 4 and right 9 with a vertical shrink by 1/2.
What is y = -1/2|x-5|?
An ellipse with center (8,-9) with a horizontal dilation of 2 and a vertical dilation of 5.
What is (x-8)2/4 + (y+9)2/25 = 1
A change in the size or the position of a function.
What is a transformation?
A quadratic has been reflected over the x-axis and translated up 3 with a vertical stretch by 2.
What is y = -2x2 + 3 ?
y = -2 sqrt(-x-2)+2
What is a square root function that has been reflected over x and y, stretched vertically by 2, translated left 2, and up 2?
An absolute value went down 4, right 6, left 9, and up 4. It was also reflected over x and had a vertical stretch by 9.
What is y = -9|x+3|
An ellipse with a center of (-2,0) with a vertical dilation of 7 and a horizontal dilation of 2.
What is (x+2)2/4 + y2/49 = 1