Maximum and Minimum Values of Quadratic Functions

Front

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

Back

(3,2)

Front

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

Back

x=1

Front

Does y = -4x² have a maximum or minimum value?

Back

maximum

Front

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

Back

vertex

Front

What's the axis of symmetry of y = 3x² - 6x + 4?

Back

x=1

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c

Front

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

Back

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

Front

What is the significance of the coefficient 'a' in a quadratic function?

Back

It determines the direction of the parabola (upward if a > 0, downward if a < 0).

Front

What is the formula for the axis of symmetry of a quadratic function?

Back

x = -b/(2a) where a and b are coefficients from the standard form.

Front

What is the maximum value of a quadratic function?

Back

The y-coordinate of the vertex when the parabola opens downward.