Quadratic and Exponential EOC Review

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph of the quadratic function crosses the x-axis, found by solving the equation for y = 0.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does the vertex of a parabola represent?

Back

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

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = -b/(2a).

Front

What is the difference between a maximum and minimum in a quadratic function?

Back

A maximum is the highest point of the parabola (opens downwards), while a minimum is the lowest point (opens upwards).

Front

How do you find the y-intercept of a quadratic function?

Back

The y-intercept is found by evaluating the function at x = 0, which gives the point (0, c) in the standard form.

Front

What is an exponential decay function?

Back

An exponential decay function models a situation where a quantity decreases over time, typically represented as f(x) = a(1 - r)^x, where 0 < r < 1.

Front

What is the general form of an exponential function?

Back

The general form is f(x) = ab^x, where a is a constant, b is the base, and x is the exponent.

Front

How do you determine if a function is quadratic or exponential?

Back

A quadratic function has a degree of 2 (parabolic shape), while an exponential function has a variable in the exponent.

Front

What is the significance of the coefficient 'a' in a quadratic function?

Back

The coefficient 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the parabola.