How to Transform
How do you show translation up in an equation?
add OUTSIDE of the parenthesis
f(x) = x2 + 8
Translation up 8.
The quadratic function translated down 3
g(x) = x2 - 3
What type of function is this:
f(x)=x
Linear
There is a right triangle. One leg is 3 in and the other leg is 4 in. What is the length of hypotenuse?
5 inches
How do you show translation down in an equation?
subtract OUTSIDE of the parenthesis
f(x) = lx - 4l
Translates to the right 4
The absolute value function translated to the left 7
f(x) = lx + 7l
What type of function is this:
f(x)=x2
Quadratic
How many more school days are left until the end of the school year
18 days 👀
How do you show horizontal translation in an equation?
add or subtract INSIDE the parenthesis
f(x) = 1/2(x)3 - 5
What is vertical stretch/compression by 1/2 and down 5.
The cubic function reflected across the x-axis and translated down 5
What is h(x) = -x3 - 5
What type of function is this:
f(x)=|x|
Absolute Value
What day does Ms. Lindo get back to school?
June 9
How do you show reflection over the y-axis in an equation
a negative sign in front of x INSIDE the parenthesis
f(x) = -√(x + 9) - 2
Reflection across x-axis, translates left 9 and down 2.
The square root function translated right 8 and down 10
f(x) = √(x - 8) - 10
Write the Square Root function
f(x)=√x
1/2+1/3-1/4
7/12
How do you show vertical stretch/compression
multiply by a number in front of the equation OUTSIDE of the parenthesis
f(x) = -3lx - 5l - 6
Reflection across x-axis, vertical stretch by 3, translates right 5 and down 6
The absolute value function reflected over the y-axis, horizontal compression by 2, left 3, and up 4
g(x) = l-2x + 3l + 4
Write the Cubic function
f(x)=x3
Simplify
(3x5-7x3-1)(3x-2)
9x6-6x5-21x4+14x3-3x+2