Quadratics Flashcard

Front

What is the significance of the ordered pair (2, -4) to the graph?

Back

It is the vertex.

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the point where the graph crosses the y-axis, represented as (0, y).

Front

How long does it take Jason to hit the water if his height is modeled by h(t) = –16t² + 16t + 480?

Back

6 seconds.

Front

What is the height of the object after 2 seconds if modeled by y = -16x² + 30x + 20?

Back

16 feet.

Front

What do we call the graph of a quadratic function?

Back

Parabola.

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax² + bx + c.

Front

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

Back

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

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set y = 0 and solve the equation ax² + bx + c = 0.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is the vertical line that divides the parabola into two mirror images, given by x = -b/(2a).