Exploring Quadratic Characteristics from Standard Form

What is the standard form of a quadratic function?

• y = ax^3 + bx^2 + c

• y = ax^2 + bx + c

• y = ax + b

• y = a/x + b

Which term in the quadratic equation represents the y-intercept?

• X

• C

• B

• A

How do you find the y-intercept of a quadratic function?

• By setting x to 1

• By setting y to 0

• By looking at the coefficient of x

• By looking at the constant term

What is the formula for finding the axis of symmetry in a quadratic function?

• x = A/2B

• x = -A/2B

• x = B/2A

• x = -B/2A

Why is it important to use parentheses when substituting values into the axis of symmetry formula?

• To ensure the values are positive

• To avoid sign errors

• To make the equation look neat

• To simplify the calculation

What is the x-coordinate of the vertex in a quadratic function?

• The y-intercept

• The axis of symmetry

• The coefficient of x

• The constant term

How do you find the y-coordinate of the vertex?

• By setting x to 0

• By using the constant term

• By using the coefficient of x

• By substituting the axis of symmetry into the original equation

What are the coordinates of the vertex for the function f(x) = 2x^2 - 4x + 5?

• (3, 2)

• (2, 1)

• (1, 3)

• (0, 5)

What does the dashed vertical line on the graph represent?

• The x-intercept

• The vertex

• The y-intercept

• The axis of symmetry

What is the importance of identifying the a, b, and c values in a quadratic equation?

• They help in graphing the function

• They are used to find the characteristics of the parabola

• They determine the function's domain

• They simplify the equation