Math 2 Exam Practice! (Fall 2024)

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function in the form y = ax^2 + bx + c is the point (h, k) where h = -b/(2a) and k is the function value at h.

Front

How do you find the time it takes for an object to hit the ground when dropped from a height?

Back

Use the quadratic equation h = -16t^2 + h0, where h0 is the initial height. Set h = 0 and solve for t.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in a quadratic function indicate?

Back

The 'a' value determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression ax^2 + bx + c, find two numbers that multiply to ac and add to b, then rewrite the expression.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if > 0, two real roots; = 0, one real root; < 0, no real roots.

Front

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

Back

The maximum or minimum value occurs at the vertex (h, k), where h = -b/(2a) and k is the function value at h.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is the vertical line x = h, where h is the x-coordinate of the vertex.

Front

How do you solve a quadratic equation by completing the square?

Back

To complete the square, rearrange the equation to isolate the constant, then add (b/2)^2 to both sides and factor.