Quadratics Review T2 (24-25)

Front

What is the y-intercept of a quadratic equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, represented as (0, y).

Front

How do you find the solutions of a quadratic equation from its graph?

Back

The solutions (or x-intercepts) are the points where the graph intersects the x-axis.

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

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, passing through the vertex.

Front

How do you determine the axis of symmetry from the vertex?

Back

The axis of symmetry can be found using the x-coordinate of the vertex, represented as x = h for a vertex (h, k).

Front

What are x-intercepts?

Back

X-intercepts are the points where the graph of the quadratic equation crosses the x-axis, represented as (x, 0).

Front

What is the standard form of a quadratic equation?

Back

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

Front

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

Back

The 'a' value determines the direction of the parabola's opening: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

How can you find the y-intercept from a quadratic equation in standard form?

Back

The y-intercept can be found by evaluating the equation at x = 0, resulting in the point (0, c).

Front

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

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: if > 0, two real solutions; if = 0, one real solution; if < 0, no real solutions.