Graphing parabolas

Front

What is the y-intercept of the equation y=x²-3x-4?

Back

y=-4

Front

How can you tell whether a parabola opens up or down?

Back

The value of 'a' tells you the direction of the opening.

Front

What is the graph of a quadratic function called?

Back

Parabola

Front

What is the axis of symmetry for the function f(x) = x² - 8x + 15?

Back

x = 4

Front

What is the formula to find the axis of symmetry in a quadratic equation?

Back

-b/2a

Front

What is the vertex of a parabola?

Back

The highest or lowest point on the graph of a parabola.

Front

What does the 'a' value in the quadratic equation y=ax²+bx+c indicate?

Back

It indicates the direction of the parabola's opening.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

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 is the significance of the discriminant in a quadratic equation?

Back

It determines the number and type of roots (real or complex) of the equation.