Solving Square Root Equations

Front

What is the parent function of square root functions?

Back

f(x) = \sqrt{x}

Front

Determine the equation for the graph: What is the equation if the graph shifts down by 4 units and is stretched by a factor of 2?

Back

y = 2\sqrt{x} - 4

Front

What is the domain of the function y = \sqrt{x + 2}?

Back

x ≥ -2

Front

Solve for x: \left(x + 2\right)^{\frac{1}{2}} + 3 = 7

Back

x = 14

Front

Which graph represents the square root parent function?

Back

Graph B

Front

What is the range of the function y = \sqrt{x}?

Back

y ≥ 0

Front

What is the effect of the coefficient in front of the square root function?

Back

It stretches or compresses the graph vertically.

Front

How do you find the x-intercept of the function y = \sqrt{x} - 3?

Back

Set y = 0: \sqrt{x} - 3 = 0, so x = 9.

Front

What is the vertical shift of the function y = \sqrt{x} + 2?

Back

The graph shifts up by 2 units.

Front

What is the horizontal shift of the function y = \sqrt{x - 4}?

Back

The graph shifts right by 4 units.