Explore properties of quadratic functions

Front

What is the maximum/minimum of a parabola called?

Back

vertex

Front

Which is the vertex of y = x² + 16x + 71?

Back

V(-8, 7)

Front

If the blue graph is f(x) = x², the red must be...

Back

g(x) = (x - 3)²

Front

Which of the following describes the transformations done to the quadratic parent function of f(x) = x² to obtain g(x) = 2x² + 4?

Back

Vertical Stretch by a factor of 2 and vertical shift up 4 units

Front

What are the green dots called?

Back

roots or x-intercepts

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c

Front

What does the 'a' in the quadratic function f(x) = ax² + bx + c determine?

Back

The direction and width of the parabola.

Front

What is the axis of symmetry in a quadratic function?

Back

The vertical line that divides the parabola into two mirror images.

Front

How do you find the vertex of a parabola given 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 are the roots of a quadratic function?

Back

The values of x where the function intersects the x-axis.