Flashcard 4-1 Review

Front

Solve for x: x² - 7x = 0

Back

x = 0, 7

Front

Solve for x: x² = 18x - 81

Back

x = 9, 9

Front

Solve for x: 3x² - 48 = 0

Back

x = -4, 4

Front

A positive parabola opens ___

Back

up

Front

How many zeros does this parabola have? (2x² - 4x = 0)

Back

2

Front

What is the vertex of a parabola in the form y = ax² + bx + c?

Back

The vertex is at (-b/(2a), f(-b/(2a))).

Front

What does the discriminant (b² - 4ac) tell us about a quadratic equation?

Back

It indicates the number of real roots: 0 = 1 root, >0 = 2 roots, <0 = no real roots.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What is the axis of symmetry for a parabola?

Back

x = -b/(2a) for the quadratic equation y = ax² + bx + c.

Front

What is the effect of the coefficient 'a' in the quadratic equation y = ax² + bx + c?

Back

If 'a' > 0, the parabola opens up; if 'a' < 0, it opens down.