Review of Graphing Quadratics in Vertex and Standard Form

What is the axis of symmetry for the function f(x) = 2x^2 - 8x + 6?

• x = 1

• x = 2

• x = 3

• x = 4

How can you identify the vertex from the vertex form of a quadratic function?

• The vertex is (0, 0)

• The vertex is (h, k) where f(x) = a(x - h)^2 + k

• The vertex is (a, b) where a and b are constants

• The vertex is (h, 0) where h is the x-coordinate of the vertex

What is the axis of symmetry in a quadratic function?

• A vertical line that divides the parabola into two mirror-image halves.

• A horizontal line that divides the parabola into two equal parts.

• The point where the parabola intersects the x-axis.

• The maximum point of the parabola.

How do you find the vertex of a quadratic function in standard form?

• The vertex can be found using the formula x = -b/(2a) to find the x-coordinate, and then substituting this value back into the function to find the y-coordinate.

• The vertex is always at the origin (0,0) of the graph.

• The vertex can be found by averaging the x-intercepts of the quadratic function.

• The vertex is located at the maximum point of the graph if the parabola opens downwards.

How do you convert from standard form to vertex form?

• By factoring the equation

• By completing the square

• By using the quadratic formula

• By graphing the function

What is the relationship between the vertex and the axis of symmetry?

• The vertex lies on the axis of symmetry, which is the line that divides the parabola into two equal halves.

• The vertex is always above the axis of symmetry.

• The vertex is located at the end of the parabola, away from the axis of symmetry.

• The vertex and the axis of symmetry are never related.

What is the y-intercept of a quadratic function?

• The point where the graph intersects the x-axis.

• The point where the graph intersects the y-axis, found by evaluating f(0).

• The maximum value of the function.

• The minimum value of the function.

What is the vertex form of a quadratic function?

• f(x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

• f(x) = ax^2 + bx + c, where a, b, and c are constants.

• f(x) = a(x + h)^2 + k, where (h, k) is the vertex of the parabola.

• f(x) = a(x - h)^2 - k, where (h, k) is the vertex of the parabola.

What is the significance of the discriminant in a quadratic equation?

• It determines the coefficients of the equation.

• It indicates the number of solutions: two real roots if > 0, one real root if = 0, and no real roots if < 0.

• It provides the vertex of the parabola.

• It calculates the slope of the quadratic function.

What is the vertex of the function f(x) = x^2 - 4x + 4?

• (1, 1)

• (2, 0)

• (0, 4)

• (3, -1)