Learn about quadratic functions and their graphs.
Example: The standard form of a quadratic equation is y = ax² + bx + c.
Step 1: Identify a, b, and c in the quadratic equation.
Step 2: Use the quadratic formula if necessary.
Step 3: Graph the function.
What is the vertex of y = x² - 4x + 3?
Understand the properties of exponential growth and decay.
Example: The standard form of an exponential equation is y = a * b^x, where:
Step 1: Identify the base (b) and exponent (x).
Step 2: Analyze whether the function represents growth or decay.
Step 3: Graph the function.
What happens when b < 1 in y = a * b^x?
Introduction to logarithms and their properties.
Example: The logarithmic function log_b(x) is the inverse of the exponential function b^y = x.
Step 1: Convert between logarithmic and exponential form.
Step 2: Use logarithmic rules to simplify expressions.
Step 3: Solve logarithmic equations.
If log₂(8) = x, what is x?
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