Quadratics and Linear Functions

Front

What is the vertex of the quadratic function y=2(x-3)²+5?

Back

(3,5)

Front

How many solutions does a linear graph crossing a quadratic graph at two points have?

Back

2

Front

What is the result of FOILing (x+2)(x-3)?

Back

x²-x-6

Front

Complete the square for the quadratic equation y = x²+4x-1.

Back

y = (x+2)² - 5

Front

Does the graph of a quadratic function have a maximum or minimum value if it opens upwards?

Back

minimum

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c

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).

Front

What is the axis of symmetry for the quadratic function y = ax² + bx + c?

Back

x = -b/(2a)

Front

What is the quadratic formula used for?

Back

To find the roots of a quadratic equation: x = (-b ± √(b²-4ac)) / (2a).

Front

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

Back

It indicates the number of real solutions: 0 (one solution), >0 (two solutions), <0 (no real solutions).