Graphing Various Types of Functions

This video tutorial covers graphing various types of equations, including linear, quadratic, absolute value, cubic, radical, rational, exponential, and logarithmic equations. It explains different methods for graphing, such as using tables, slope-intercept form, and identifying asymptotes. The tutorial also discusses transformations and how to handle inequalities in graphing.

What is the y-intercept of the equation y = -2x + 1?

• 0

• 1

• -2

• -1

How do you find the x-intercept of the equation 2x + 3y = 6?

• Set y to 0 and solve for x

• Set x to 1 and solve for y

• Set x to 0 and solve for y

• Set y to 1 and solve for x

What is the vertex of the quadratic equation y = x^2 - 2x + 3?

• (1, 1)

• (0, 3)

• (-1, 2)

• (1, 2)

How does the graph of y = -x^2 + 4 differ from y = x^2 + 4?

• It shifts to the left

• It shifts to the right

• It opens upward

• It opens downward

What is the effect of a negative sign inside the square root function y = -√x?

• Reflects across the y-axis

• Reflects across the x-axis

• Shifts down

• Shifts up

What is the domain of any quadratic function?

• Negative infinity to positive infinity

• Zero to positive infinity

• Negative infinity to zero

• Zero to one

For the function y = 3 - |x + 2|, what is the highest value of y?

• 0

• 1

• 2

• 3

In which quadrant does the graph of the function y = -√(2 - x) lie?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

What is the vertical asymptote of the function y = 1/(x - 2)?

• x = 2

• x = -2

• x = 1

• x = 0

For the exponential function y = 2^(x + 3) - 1, what is the horizontal asymptote?

• y = 0

• y = 1

• y = -1

• y = 2