Understanding Quadratic Functions Concepts

What is the standard form of a quadratic function?

• y = ax + b

• y = ax^2 + bx + c

• y = ax^3 + bx^2 + c

• y = a/x + b

What is the vertex of the parent function y = x^2?

• (2, 2)

• (-1, -1)

• (0, 0)

• (1, 1)

How does the graph of y = 1/2 x^2 compare to y = x^2?

• It is narrower

• It is wider

• It is the same

• It is shifted up

What does the coefficient 'a' determine in the quadratic function y = ax^2 + bx + c?

• The direction and width of the parabola

• The axis of symmetry

• The y-intercept

• The x-intercept

If 'a' is negative in the quadratic function y = ax^2 + bx + c, what is the direction of the parabola?

• Rightwards

• Leftwards

• Upwards

• Downwards

What is the formula for the axis of symmetry in a quadratic function y = ax^2 + bx + c?

• x = a/2b

• x = -a/2b

• x = b/2a

• x = -b/2a

What is the y-intercept of the quadratic function y = ax^2 + bx + c?

• a

• 0

• b

• c

For the function y = -3x^2 + 7x + 2, what is the x-coordinate of the vertex?

• 3/2

• -3/2

• 7/6

• -7/6

What is the maximum value of the function y = -3x^2 + 7x + 2?

• 5.08

• 4.08

• 7.08

• 6.08

Which tool can be used to find the maximum or minimum of a quadratic function graphically?

• Calculator

• Ruler

• Compass

• Protractor