Quarter2 Independent Assignment #7 on Solving Radical Equations

Front

What is the parent function of a radical equation?

Back

The parent function of a radical equation is the square root function, represented as y = √x.

Front

What does it mean to reflect a function over the x-axis?

Back

Reflecting a function over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

Front

How does a vertical stretch by a factor of 2 affect the function y = √x?

Back

A vertical stretch by a factor of 2 transforms the function to y = 2√x, making it steeper.

Front

What is the effect of shifting a function to the right by 5 units?

Back

Shifting a function to the right by 5 units changes the function to y = √(x - 5).

Front

What is the first step to isolate the radical in the equation -3 = √(x - 4) + 8?

Back

The first step is to subtract 8 from both sides, resulting in -11 = √(x - 4).

Front

Which equation represents a shift of a radical function left by 3 units?

Back

The equation y = √(x + 3) represents a shift of the radical function left by 3 units.

Front

What is the solution to the equation √(x - 4) = 0?

Back

The solution is x = 4.

Front

What does it mean to isolate the radical in an equation?

Back

Isolating the radical means to get the radical expression by itself on one side of the equation.

Front

What is the general form of a radical equation?

Back

A general form of a radical equation is y = √(ax + b) + c, where a, b, and c are constants.

Front

How do you determine the number of solutions for a radical equation?

Back

To determine the number of solutions, isolate the radical and square both sides, then solve for the variable and check for extraneous solutions.