Parent graphs and transformations

Front

What is a parent graph?

Back

A parent graph is the simplest form of a function, which serves as a base for transformations.

Front

What does it mean to compress a graph vertically by a factor of 1/2?

Back

It means that all y-values of the graph are multiplied by 1/2, making the graph closer to the x-axis.

Front

What is the effect of shifting a graph left by 1 unit?

Back

All x-values of the graph are decreased by 1, moving the graph to the left.

Front

What is the effect of shifting a graph down by 3 units?

Back

All y-values of the graph are decreased by 3, moving the graph down.

Front

What is the general form of an absolute value function?

Back

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

Front

How do you reflect a graph across the x-axis?

Back

By multiplying the entire function by -1, which flips the graph over the x-axis.

Front

What is the axis of symmetry in a quadratic function?

Back

The vertical line that divides the parabola into two mirror-image halves, given by x = h in the vertex form y = a(x - h)² + k.

Front

What is the vertex of a quadratic function?

Back

The highest or lowest point of the parabola, represented as (h, k) in the vertex form.

Front

What does a vertical stretch by a factor of 2 do to a graph?

Back

It multiplies all y-values by 2, making the graph taller.

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c, where a, b, and c are constants.