Quadratics Features

Is this point a max or min?

• max

• min

• undefined

• local maximum

What is the standard form of a quadratic equation?

• y = ax^2 + bx + c

• y = a(x - h)^2 + k

• y = mx + b

• y = ax^3 + bx^2 + cx + d

What are the green dots called?

• zeros

• roots

• solutions

• x-intercepts

What is the vertex of the quadratic function?

• (0, 18)

• (1, 15)

• (2, 20)

• (-1, 10)

What is the discriminant in a quadratic equation?

• The value of b^2 - 4ac, which determines the nature of the roots.

• The sum of the coefficients of the quadratic equation.

• The product of the roots of the equation.

• The value of a + b + c in the equation ax^2 + bx + c = 0.

What is the formula to find the vertex of a quadratic function in standard form?

• x = -b/(2a) for the x-coordinate, then substitute back to find y.

• x = b/(2a) for the x-coordinate, then substitute back to find y.

• x = -b/(2a) for the y-coordinate, then substitute back to find x.

• x = (b^2 - 4ac)/(2a) for the vertex.

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

• x = -b/(2a)

• x = b/(2a)

• x = -2b/a

• x = -a/(2b)

What does the 'a' value in a quadratic equation determine?

• The width of the parabola

• The direction of the parabola (upward if a > 0, downward if a < 0)

• The vertex of the parabola

• The x-intercepts of the parabola

What is the significance of the vertex in a quadratic function?

• It represents the maximum or minimum point of the parabola.

• It indicates the axis of symmetry of the parabola.

• It determines the direction in which the parabola opens.

• It is the point where the parabola intersects the x-axis.

What does a zero discriminant indicate?

• Two distinct real roots (the parabola intersects the x-axis at two points).

• One real root (the vertex touches the x-axis).

• No real roots (the parabola does not intersect the x-axis).

• Infinitely many real roots (the parabola is a straight line).