Finding Intercepts and Rearranging Equations

The video tutorial explains how to find the y-intercept and x-intercept of the equation y = √(2x - 10). It starts by identifying the y-intercept when x is 0, resulting in y = -10. The tutorial then demonstrates how to rearrange the equation to express x in terms of y, leading to x = (y + 10)² / 2. Finally, it calculates the x-intercept by setting y to 0, resulting in x = 50.

What is the y-intercept of the equation y = √(2x - 10)?

• (0, -10)

• (-10, 0)

• (0, 10)

• (10, 0)

What is the first step in rearranging the equation y = √(2x - 10) to express x in terms of y?

• Multiply both sides by 2

• Divide both sides by 2

• Add 10 to both sides

• Subtract 10 from both sides

After adding 10 to both sides of the equation y = √(2x - 10), what is the next step?

• Subtract y from both sides

• Multiply both sides by 2

• Take the square root of both sides

• Square both sides

What is the expression for x after rearranging the equation y = √(2x - 10)?

• x = (y - 10)^2

• x = (y + 10)^2 / 2

• x = (y - 10)^2 / 2

• x = (y + 10)^2

What operation is performed after squaring both sides of the equation y + 10 = √(2x)?

• Add 10 to both sides

• Subtract 10 from both sides

• Multiply both sides by 2

• Divide both sides by 2

What does the x-intercept of a curve represent?

• The lowest point on the curve

• The highest point on the curve

• The point where the curve intersects the x-axis

• The point where the curve intersects the y-axis

How do you find the x-intercept of the equation y = √(2x - 10)?

• Set x to 10 and solve for y

• Set y to 0 and solve for x

• Set x to 0 and solve for y

• Set y to 10 and solve for x

What is the x-intercept of the equation y = √(2x - 10)?

• (50, 0)

• (0, 10)

• (10, 0)

• (0, 50)

What is the value of x when y is 0 in the equation y = √(2x - 10)?

• 100

• 20

• 10

• 50

What is the final step in verifying the x-intercept of the equation y = √(2x - 10)?

• Check if y is 0 when x is 50

• Check if x is 0 when y is 50

• Check if y is 10 when x is 0

• Check if x is 10 when y is 0