IM 3 Semester 1 Final Review

Front

What is the result of simplifying -2x^2 + 4x + 48 ÷ (x + 4)?

Back

-2x + 12

Front

Which equation corresponds to the graph of a quadratic function with roots at x = -1 and x = 5?

Back

y = (x + 1)(x - 5)

Front

How would you classify the point at (0,6) in terms of extrema?

Back

Relative Minimum

Front

What is the vertex of the quadratic equation y = 2(x + 2)^2 + 5?

Back

(-2, 5)

Front

Factor the quadratic expression x^2 + 7x - 30.

Back

(x + 10)(x - 3)

Front

What is the standard form of a quadratic equation?

Back

y = 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 find the x-intercepts of a quadratic function?

Back

Set y = 0 and solve the equation ax^2 + bx + c = 0.

Front

What is the axis of symmetry for the quadratic function y = ax^2 + bx + c?

Back

x = -\frac{b}{2a}.

Front

What is the discriminant of a quadratic equation and what does it indicate?

Back

The discriminant is b^2 - 4ac; it indicates the nature of the roots (real and distinct, real and equal, or complex).