A2 Unit 2 Review

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. For the quadratic function y = ax^2 + bx + c, the axis of symmetry can be found using the formula x = -b/(2a).

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation. For the quadratic function y = ax^2 + bx + c, the vertex can be found using the formula (h, k) where h = -b/(2a) and k = f(h).

Front

How do you determine the number of solutions for a quadratic equation?

Back

The number of solutions can be determined using the discriminant, D = b^2 - 4ac. If D > 0, there are 2 solutions; if D = 0, there is 1 solution; if D < 0, there are no real solutions.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is y = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does it mean if a quadratic equation has one solution?

Back

It means that the parabola touches the x-axis at exactly one point, known as the vertex, and the discriminant is zero.

Front

What is the significance of the coefficient 'a' in a quadratic function?

Back

The coefficient 'a' determines the direction of the parabola. If a > 0, the parabola opens upwards; if a < 0, it opens downwards.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of the quadratic equation ax^2 + bx + c = 0 and is given by x = (-b ± √(b^2 - 4ac)) / (2a).

Front

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

Back

The y-intercept can be found by evaluating the function at x = 0, which gives the point (0, c) in the standard form y = ax^2 + bx + c.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Front

What is the effect of changing the value of 'b' in a quadratic function?

Back

Changing the value of 'b' affects the position of the vertex and the axis of symmetry, but does not change the direction of the parabola.