Maximum and Minimum Values of Quadratic Functions

Front

Does the equation have a max or min? y = 2x² + 7x + 5

Back

min

Front

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

Back

vertex

Front

What is the y intercept for the equation: y = -8x² + 3x - 7?

Back

(0, -7)

Front

What is the axis of symmetry for the following equation? y=4x²-8x+9

Back

x=1

Front

What is the vertex of the quadratic function: y = x² - 6x + 11?

Back

(3,2)

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c

Front

How do you determine if a quadratic 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 vertex of a quadratic function in standard form?

Back

Vertex: ( -b/(2a), f(-b/(2a)) )

Front

What is the discriminant of a quadratic equation?

Back

The discriminant is b² - 4ac.

Front

What does the discriminant tell us about the roots of a quadratic equation?

Back

If > 0: two real roots; = 0: one real root; < 0: no real roots.