Graphing Quadratics Review

Front

What is the vertex form of a quadratic function?

Back

f(x) = a(x-h)² + k

Front

Write the equation of this transformation: reflection across x-axis, left 2, down 5.

Back

y = -(x+2)² - 5

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

Find the vertex of the quadratic function y = x² - 4.

Back

(0, -4)

Front

What is the vertical line that divides the parabola into two equal parts?

Back

axis of symmetry

Front

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

Back

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

Front

How do you find the axis of symmetry for a quadratic function in standard form?

Back

The axis of symmetry is given by the formula x = -b/(2a).

Front

What is the effect of changing the 'h' value in the vertex form of a quadratic function?

Back

Changing 'h' shifts the graph left or right.

Front

What is the effect of changing the 'k' value in the vertex form of a quadratic function?

Back

Changing 'k' shifts the graph up or down.

Front

What is the vertex of the parabola represented by the equation y = 2(x-3)² + 1?

Back

(3, 1)