How to determine the domain and range and graph

The video tutorial explains how to analyze a quadratic function, specifically f(x) = 4x^2 - 6x - 3. It covers identifying coefficients, finding the Y-intercept, calculating the axis of symmetry, and determining the vertex. The tutorial also explains how to identify if the vertex is a maximum or minimum point and discusses the domain and range of the function.

What is the y-intercept of the function f(x) = 4x^2 - 6x - 3?

• (-3, 0)

• (3, 0)

• (0, 3)

• (0, -3)

How do you calculate the axis of symmetry for a quadratic function?

• Using the formula -b/2a

• By finding the y-intercept

• By setting the function equal to zero

• Using the formula a^2 + b^2

What is the x-coordinate of the vertex for the function f(x) = 4x^2 - 6x - 3?

• 2/3

• 3/4

• 1/4

• 1/2

What is the y-coordinate of the vertex for the function f(x) = 4x^2 - 6x - 3?

• 3.25

• -3.25

• 5.25

• -5.25

If the coefficient 'a' in a quadratic function is greater than zero, what does this indicate about the vertex?

• The vertex is a minimum point

• The vertex is a maximum point

• The graph is a straight line

• The graph is a circle

What is the domain of the quadratic function f(x) = 4x^2 - 6x - 3?

• All real numbers

• x > 0

• x < 0

• x = 0

What is the range of the quadratic function f(x) = 4x^2 - 6x - 3?

• y ≤ -5.25

• y ≥ -5.25

• y < 0

• y > 0