24-25 AR Fall Semester Final Review

Front

What is another name for the x-intercepts of a quadratic?

Back

Zeros

Front

Determine the slope of the line represented by the points (3, 2) and (0, 1).

Back

Slope = (y2 - y1) / (x2 - x1) = (1 - 2) / (0 - 3) = -1/3

Front

What is the formula for the height of an object in free fall?

Back

h(t) = -16t² + vt + h₀, where v is the initial velocity and h₀ is the initial height.

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h).

Front

What is the quadratic formula used for?

Back

To find the roots of a quadratic equation ax² + bx + c = 0, given by x = (-b ± √(b² - 4ac)) / (2a).

Front

What does the discriminant of a quadratic equation indicate?

Back

The discriminant (b² - 4ac) indicates the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).

Front

What is the significance of the y-intercept in a function?

Back

The y-intercept is the point where the graph intersects the y-axis, representing the value of the function when x = 0.

Front

How do you determine the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value occurs at the vertex, found using h = -b/(2a).

Front

What is an exponential function?

Back

An exponential function is of the form f(x) = a * b^x, where a is a constant, b > 0, and b ≠ 1.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By + C = 0, where A, B, and C are constants.