Practice Test Quadratic Functions

Front

What is the y-intercept of the function f(x)=2x² + 4x + 6?

Back

(0, 6)

Front

Find the vertex of the function f(x)=2x² + 4x + 6.

Back

(2, -4)

Front

How do we transform from the parent function to y = -1/5(x - 1)² + 7?

Back

reflection, vertical compression, horizontal right, vertical up

Front

What is the vertex of the function f(x)=x² - 6x + 5?

Back

(3, -1)

Front

Does the graph of f(x)=x² - 6x + 5 have a maximum or minimum value?

Back

minimum

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c, where a, b, and c are constants.

Front

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

Back

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

Front

How do you find the axis of symmetry for a quadratic function?

Back

x = -b/(2a) where f(x) = ax² + bx + c.

Front

What is the vertex form of a quadratic function?

Back

f(x) = a(x - h)² + k, where (h, k) is the vertex.

Front

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

Back

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