Key Features of Parabolas

Front

What is the y-intercept of the equation y = 2x² + 8x + 3?

Back

(0,3)

Front

What is the domain of all quadratic functions?

Back

All real numbers

Front

What is the axis of symmetry of the graph of y = 2x² + 8x + 3?

Back

x = -4

Front

If 'a' is negative in a quadratic equation, does the parabola open up or down?

Back

Down

Front

If 'a' is negative, does the parabola have a maximum or minimum?

Back

Maximum

Front

When a parabola opens down, the vertex is known as a __________.

Back

maximum

Front

What is the vertex form of a quadratic function?

Back

y = a(x-h)² + k, where (h,k) is the vertex.

Front

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

Back

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

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 y.