Graphing Quadratics in Standard form

Front

If a is negative in the function, which way does the parabola open?

Back

down

Front

What do we call the graph of a quadratic?

Back

parabola

Front

What is c in the equation y=ax²+bx+c?

Back

y-intercept

Front

What is the vertex of the function f(x) = -x² - 4x + 12?

Back

(-2, 16)

Front

What is the standard form of a quadratic function?

Back

ax² + bx + c

Front

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

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 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 zeroes of a quadratic function?

Back

The x-values where the graph intersects the x-axis.

Front

What is the significance of the y-intercept in a quadratic function?

Back

It is the point where the graph intersects the y-axis.