Unit #10 Quadratics REview#4

Front

What are the solutions of the quadratic equation represented by a graph?

Back

The solutions are the x-values where the graph intersects the x-axis, also known as the roots of the equation.

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, represented as (x, 0).

Front

What does the equation h = -16t^2 + 80t represent in a real-world context?

Back

This equation models the height of an object (like a dolphin) over time, where 't' is time in seconds.

Front

How do you find the maximum height of a quadratic function?

Back

The maximum height can be found using the vertex formula, where the vertex (h, k) gives the maximum point for a downward-opening parabola.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the x-coordinate of the vertex.

Front

How do you determine the time at which a projectile reaches its maximum height?

Back

The time to reach maximum height can be found using the formula t = -b/(2a) from the standard form of a quadratic equation ax^2 + bx + c.

Front

What is the standard form of a quadratic equation?

Back

The standard form is given by y = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in a quadratic equation indicate about the graph?

Back

The 'a' value determines the direction of the parabola: if 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

How can you find the roots of a quadratic equation?

Back

Roots can be found using factoring, completing the square, or the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).