Quadratic Functions Flashcard

Front

What is the vertex of the quadratic equation 2x² + 5x + 3 = 0?

Back

(-1, 0)

Front

What does the vertex form of a quadratic function look like?

Back

y = a(x − h)² + k

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c

Front

What is the formula for finding the roots of a quadratic equation?

Back

Quadratic formula

Front

List the coordinates of the x-intercepts for the following parabola: y = x² + 4x.

Back

(0,0) and (-4,0)

Front

What is the axis of symmetry in a quadratic function?

Back

x = -b/(2a)

Front

How do you determine if a quadratic function opens upwards or downwards?

Back

If a > 0, it opens upwards; if a < 0, it opens downwards.

Front

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

Back

It determines the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.

Front

What is the vertex of the quadratic function y = 2(x - 3)² + 4?

Back

(3, 4)

Front

How can you convert a quadratic function from standard form to vertex form?

Back

By completing the square.