Geometry semester One exam

Front

What is the parent function of f(x) = x?

Back

The parent function is a linear function represented by the equation f(x) = x, which is a straight line with a slope of 1 and passes through the origin.

Front

What does it mean to shift a function 3 units down?

Back

Shifting a function 3 units down means subtracting 3 from the function's output, resulting in a new function g(x) = f(x) - 3.

Front

How do you shift a function 4 units to the left?

Back

To shift a function 4 units to the left, you replace x with (x + 4) in the function's equation, resulting in a new function g(x) = f(x + 4).

Front

What is the effect of multiplying a function by 1/2?

Back

Multiplying a function by 1/2 compresses the graph vertically, making it less steep.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle equal to 90 degrees.

Front

What is the definition of an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle greater than 90 degrees.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What transformation is represented by h(x) = f(x - 2) + 3?

Back

This transformation shifts the graph of f(x) 2 units to the right and 3 units up.