Square Root Graphs

Front

What is the general form of a square root function?

Back

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

Tags

CCSS.HSF-IF.C.7B

Front

What effect does the negative sign in front of a square root function have on its graph?

Back

It reflects the graph across the x-axis.

Tags

CCSS.HSF-IF.C.7B

Front

How does the value of 'h' in the function y = √(x - h) affect the graph?

Back

It shifts the graph horizontally to the right by 'h' units.

Tags

CCSS.HSF-IF.C.7B

Front

What does the value of 'k' in the function y = √(x - h) + k do to the graph?

Back

It shifts the graph vertically upwards by 'k' units.

Tags

CCSS.HSF-IF.C.7B

Front

What is the vertex of the graph of the function y = √(x - 1) + 4?

Back

The vertex is at the point (1, 4).

Tags

CCSS.HSF-IF.C.7B

Front

How does the coefficient in front of the square root function affect the graph?

Back

It stretches or compresses the graph vertically. A value greater than 1 stretches it, while a value between 0 and 1 compresses it.

Tags

CCSS.HSF-IF.C.7B

Front

What is the domain of the function y = √(x + 1)?

Back

The domain is x ≥ -1.

Front

What is the range of the function y = √(x - 4)?

Back

The range is y ≥ 0.

Front

What does the graph of y = 2√(x) look like compared to y = √(x)?

Back

y = 2√(x) is vertically stretched compared to y = √(x).

Tags

CCSS.HSF-IF.C.7B

Front

What is the effect of adding a constant to the square root function, such as in y = √(x) + 3?

Back

It shifts the graph vertically upwards by 3 units.

Tags

CCSS.HSF-IF.C.7B