Transformations
A slide of a figure from one place to another without turning is called this.
translation
This is the sum of the areas of all the faces of a 3D figure.
surface area
This measures the amount of space inside a 3D object.
volume
A graph that shows relationships between two sets of data.
scatter plot
Money you earn from working is called this.
income
A turn around a fixed point is called this transformation.
rotation
If a rectangular prism has length 4, width 3, and height 2, this is its surface area.
52 square units
A cube with side length 3 has this volume.
27 cubic units
When points show no clear pattern, this is the relationship.
no correlation
Money kept for future use is called this.
savings
A flip over a line is called this transformation.
reflection
A cube has 6 congruent square faces. This formula finds its surface area.
6s²
The formula for the volume of a rectangular prism is this.
l × w × h
When points go downward from left to right, this correlation is shown.
negative correlation
Money you spend regularly is called this.
expenses
A transformation that changes the size of a figure but keeps the shape the same is called this.
dilation
Surface area is measured in these kinds of units.
square units
Volume is measured in these units.
cubic units
A line drawn to show the general trend of a scatter plot is called this.
trend line
Money a bank pays you for keeping money in savings.
interest
A linear transformation in the plane has determinant −1 and preserves distances. This classification of transformation must be true.
What is an isometry that reverses orientation (a reflection)?
Using multivariable calculus, the surface area of a surface defined by z = f(x, y) over a region R is given by this integral expression.
∬√(1 + (fₓ)² + (fᵧ)²) dA
The volume of a solid obtained by rotating a function y = f(x) about the x-axis from a to b is found using this integral method.
π∫[f(x)]² dx
In linear regression, this method minimizes the sum of squared residuals to determine the best-fit line.
least squares method
As compounding frequency approaches infinity, compound interest is modeled by this exponential formula.
A = Pe^(rt)?