Flashcard 4.1-4.3 Solve Quadratics

Front

Identify A, B, and C in the quadratic equation y=3x^2-8+5x.

Back

A=3, B=5, C=-8

Front

What is the axis of symmetry for a parabola with vertex at (-7, 9)?

Back

x = -7

Front

What is the vertex formula used to find the x-coordinate of the vertex in standard form?

Back

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

Front

Does the parabola have a maximum or minimum value if its vertex is at (h, k) and opens downwards?

Back

It has a maximum value at k.

Front

Does the parabola have a maximum or minimum value if its vertex is at (h, k) and opens upwards?

Back

It has a minimum value at k.

Front

What are the solutions of the quadratic equation x^2 + 2x - 15 = 0?

Back

x = -5 or x = 3

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c

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 formula to find the y-coordinate of the vertex in standard form?

Back

y = f(h) where h = \frac{-b}{2a}.

Front

What does the discriminant of a quadratic equation tell us?

Back

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