Rules of Translations
A reflection across the x-axis will result in what happening to the (x, y)? (x, y) --> (?, ?)
What is change to (x, -y) or change the y to its opposite?
A translation up (n) will result in what happening to the (x, y)? (x, y) --> (?, ?)
What is change to (x, y + n) or add (n) units to the y coordinate?
The product rule of exponents states that when you multiply the same base, you do this to the exponents.
am · an = ?
What is you add the exponents or am+n?
This formula is used to find the volume of a cylinder?
What is V = π · r2· h
This formula is used when identifying linear equations or straight lines.
What is the slope intercept form, or y=mx+b
A reflection across the y-axis will result in what happening to the (x, y)? (x, y) --> (?, ?)
What is change to (-x, y) or change the x to its opposite?
A translation right (n) will result in what happening to the (x, y)? (x, y) --> (?, ?)
What is change to (x + n, y) or add (n) units to the x coordinate?
The quotient rule of exponents states that when you divide the same base, you do this to the exponents.
am/an = ?
What is you subtract the exponents or am-n?
This formula is used to find the volume of a cone?
What is V = (1/3)· π · r2· h
This equation is used to find the slope of a line or set of numbers.
What is the the change in y over the change in x, or the rise over the run?
A rotation of 90o clockwise or 270o counterclockwise will result in what happening to the (x, y)?
(x, y) --> (?, ?)
What is (y, -x) or change x to its opposite and then change the order of x and y
A translation down (n) will result in what happening to the (x, y)? (x, y) --> (?, ?)
What is change to (x, y - n) or subtract (n) units from the y coordinate?
The power rule of exponents states that when you raise abase with an exponent to another exponent, you do this to the exponents.
(am)n = ?
What is you multiply the exponents or am· n?
This formula is used to find the volume of a sphere?
What is V = (4/3)· π · r3
This is also known as the initial value or where something starts and is when the x-value is 0.
What is the y-intercept, or the b?
A rotation of 270o clockwise or 90o counterclockwise will result in what happening to the (x, y)?
(x, y) --> (?, ?)
What is (-y, x) or change y to its opposite and then change the order of x and y
A translation left (n) will result in what happening to the (x, y)? (x, y) --> (?, ?)
What is change to (x - n, y) or subtract (n) units from the x coordinate?
The negative rule of exponents states that when you have a negative exponent, you do this.
a-m = ?
What is you change the base to its reciprocal and make the exponent positive? a-m = 1/am
This formula is used to find the length of a side on a right triangle? (Pythagorean Theorem)
What is a2 + b2 = c2
A graph, equation or set of numbers has this type of slope when both values increase.
What is positive slope?
A rotation of 180o clockwise or counterclockwise will result in what happening to the (x, y)?
(x, y) --> (?, ?)
What is (-x, -y) or change x and y to their opposite?
A dilation of (k) will result in what happening to the (x, y)? (x, y) --> (?, ?)
What is change to (kx, ky) or multiply both coordinates by the (k)
The zero rule of exponents states that when you have a base raised to the power of 0, you do this.
a0 = ?
What is the answer is always 1, a0 = 1
This formula is used to find the radius of a circular base?
What is d/2
A graph, equation or set of numbers has this type of slope when the x-value increases but the y value decreases.
What is negative slope?