Transformations of Quadratic Functions

Front

What transformation is indicated by the red arrow in this quadratic function?

Back

Shift 6 units left

Front

What transformation is indicated by the red arrow in this quadratic function?

Back

Shift 3 units right

Front

What transformation is indicated by the red arrow in this quadratic function?

Back

Vertical Stretch

Front

What transformation is indicated by the red arrow in this quadratic function?

Back

Shift 4 units down

Front

What does the 'k' value control in this quadratic function?

Back

Shifting the parabola up or down (vertical translation)

Front

What does the 'h' value control in the vertex form of a quadratic function?

Back

Shifting the parabola left or right (horizontal translation)

Front

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

Back

The parabola opens downward.

Front

What is the vertex of a quadratic function in standard form?

Back

The point where the parabola changes direction, given by (-b/2a, f(-b/2a)).

Front

What is the axis of symmetry in a quadratic function?

Back

A vertical line that divides the parabola into two mirror-image halves, given by x = -b/2a.

Front

What is the general form of a quadratic function?

Back

f(x) = ax^2 + bx + c.