A2 Unit 2 Review

Front

What is the vertex of a quadratic equation in the form y = a(x - h)² + k?

Back

The vertex is the point (h, k).

Front

How do you find the vertex of a quadratic function given in standard form y = ax² + bx + c?

Back

You can find the vertex using the formula h = -b/(2a) and then substitute h back into the equation to find k.

Front

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

Back

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.

Front

What is the formula for the height of an object in free fall under gravity?

Back

h = -16t² + h₀, where h₀ is the initial height.

Front

How do you determine the time it takes for an object to hit the ground when dropped from a height?

Back

Set h = 0 in the height equation and solve for t.

Front

What are x-intercepts in a quadratic function?

Back

X-intercepts are the points where the graph of the function crosses the x-axis, found by setting y = 0.

Front

How can you find the x-intercepts of a quadratic equation?

Back

You can find the x-intercepts by solving the equation ax² + bx + c = 0 using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

What does the discriminant (b² - 4ac) tell you about a quadratic equation?

Back

The discriminant indicates the nature of the roots: if positive, there are two real roots; if zero, one real root; if negative, no real roots.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is the vertical line x = h, where h is the x-coordinate of the vertex.