Practice Test Quadratic Functions

Front

What direction does the parabola open for the equation y=-3x²-7x+8?

Back

Down

Front

What is the axis of symmetry for the function f(x) = x² - 8x + 15?

Back

x = 4

Front

For the function f(x) = x² - 8x + 15, is the discriminant positive, negative, or zero?

Back

Zero

Front

How did we transform from y=x² to y=-3x²?

Back

Reflection and vertical stretch.

Front

Find the vertex of the function f(x) = x² - 8x + 15.

Back

(4, -1)

Front

What is the standard form of a quadratic function?

Back

y = ax² + 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 direction.

Front

What is the formula for finding the vertex of a quadratic function in standard form?

Back

Vertex (h, k) where h = -b/(2a) and k = f(h).

Front

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

Back

It determines the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).

Front

What does it mean if a quadratic function opens upwards?

Back

The coefficient 'a' in y = ax² + bx + c is positive.