Math 3 EOC Review

Front

What is the transformation of the function y = 2^x to y = 2^(x - 5) + 3?

Back

The function is translated right 5 units and up 3 units.

Front

Convert the logarithmic equation \(\log_3 9 = 2\) to exponential form.

Back

The exponential form is \(3^2 = 9\).

Front

If f(x) has a point (x, y), what is the corresponding point on the inverse of f(x)?

Back

The corresponding point on the inverse is (y, x).

Front

What is the center of the circle given by the equation x^2 + (y + 6)^2 = 196?

Back

The center of the circle is (0, -6).

Front

If two segments are congruent, what does that imply about their lengths?

Back

The lengths of the segments are equal.

Front

What is the general form of an exponential function?

Back

The general form is y = a * b^(x - h) + k, where (h, k) is the translation.

Front

How do you find the inverse of a function algebraically?

Back

To find the inverse, swap x and y and solve for y.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it passes the horizontal line test, meaning each y-value corresponds to exactly one x-value.

Front

What is the relationship between a function and its inverse?

Back

The inverse function reverses the effect of the original function.

Front

What is the standard form of a circle's equation?

Back

The standard form is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.