graphing quadratics

Front

What is the maximum/minimum of a parabola called?

Back

vertex

Front

Where is the axis of symmetry for this parabola?

Back

x = -1

Front

In vertex form, what effect does the 'a' have on the graph?

Back

Narrows/Widens Parabola

Front

Which quadratic function is represented by the graph? y = 2(x - 4)² + 5, y = 2(x + 4)² + 5, y = -2(x - 4)² + 5, y = -2(x + 4)² + 5

Back

y = -2(x + 4)² + 5

Front

What is the y-intercept of this parabola? (−1, 3), (−3, 11), (−2, 5), (0, 5)

Back

(0, 5)

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c

Front

What does the 'b' value in the standard form affect?

Back

The position of the vertex and the axis of symmetry.

Front

What is the effect of a negative 'a' value in a quadratic function?

Back

The parabola opens downward.

Front

How do you find the vertex of a parabola in standard form?

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

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

Back

It determines the number and type of roots (real and distinct, real and repeated, or complex).