Graphing Quadratic Equations

Front

What do we call the highest or lowest point of a quadratic?

Back

Vertex

Front

What is the vertex of the quadratic function f(x) = x^2 - 6x + 9?

Back

(3, 0)

Front

What is the vertex of the quadratic function f(x) = -x^2 - 4x + 12?

Back

(-2, 16)

Front

Determine the values of a, b, and c for the quadratic equation 9x^2 - 14x + 5.

Back

a = 9, b = -14, c = 5

Front

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

Back

(1, 5)

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c

Front

What does the 'a' value in a quadratic equation determine?

Back

The direction and width of the parabola.

Front

What is the axis of symmetry in a quadratic function?

Back

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

Front

How do you find the y-intercept of a quadratic function?

Back

Set x = 0 and solve for y.

Front

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

Back

It opens downward.