Graphing Quadratic Equations

Front

What is the vertex form formula?

Back

y=a(x-h)²+k

Front

What is the y-intercept of the graph y=x²-6?

Back

(0,-6)

Front

What steps transform the graph y = x² to y = x² + 8?

Back

shifted up 8 units

Front

What is the standard form formula for a quadratic equation?

Back

y=ax²+bx+c

Front

What is the domain of the graph of a quadratic function?

Back

all real numbers

Front

What does the 'a' in the vertex form of a quadratic equation represent?

Back

The 'a' value determines the direction and width of the parabola.

Front

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

Back

The vertex is at the point (h, k) in the equation y=a(x-h)²+k.

Front

What is the axis of symmetry for the quadratic equation y=x²-4?

Back

x=0 (the line of symmetry is x=h where h is the x-coordinate of the vertex).

Front

How does changing the 'b' value in the standard form affect the graph?

Back

It affects the position of the vertex along the x-axis.

Front

What is the effect of a negative 'a' value in a quadratic equation?

Back

It reflects the parabola across the x-axis.