Algebra 1 EOC Review

Front

What is the percentage decay of a colony modeled by f(x) = 800(0.87)^x?

Back

13% - The colony is decaying at a rate of 13%.

Front

If f(x) = x^2, what is g(x) if it is a transformation of f(x) that shifts it 3 units to the right?

Back

g(x) = (x - 3)^2 - This represents a horizontal shift to the right.

Front

In an exponential function, what does the 'a' represent?

Back

Y-INTERCEPT - It is the value of the function when x = 0.

Front

What type of function is f(x) = 2(1/7)^x?

Back

Exponential Decay - The base (1/7) is less than 1, indicating decay.

Front

Which equation represents the graph of a downward-opening parabola with vertex at (4, 3)?

Back

f(x) = -(x - 4)^2 + 3 - This represents a parabola that opens downwards.

Front

What is the general form of a quadratic function?

Back

f(x) = ax^2 + bx + c - where a, b, and c are constants.

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point of the parabola, depending on its orientation.

Front

How do you determine if a function is exponential?

Back

If it can be expressed in the form f(x) = a(b)^x, where b > 0 and b ≠ 1.

Front

What is the common ratio in an exponential function?

Back

The factor by which the function value changes for each unit increase in x.

Front

What does the term 'exponential growth' mean?

Back

A situation where a quantity increases at a rate proportional to its current value.