Characteristics and Transformations of Quadratics

Front

The point in which a graph hits the x-axis is known as the _____

Back

All answers are correct (Solution, x-intercept, Root)

Front

What is the axis of symmetry?

Back

A line whose equation is the x-coordinate of a parabola's vertex; A central line that divides a parabola into mirror images; A line that intersects a parabola at the vertex; All of the above.

Front

Name the parent function of quadratics.

Back

Quadratic

Front

Which quadratic is wider than the graph of y = 4x² + 5?

Back

y = 0.25x² + 5

Front

What are the x-intercepts of the quadratic function y = x² - 4?

Back

0 and 4

Front

What is the vertex of a parabola?

Back

The highest or lowest point on the graph of a quadratic function.

Front

What does the 'a' value in the quadratic equation y = ax² + bx + c determine?

Back

The width and direction of the parabola (opens up if a > 0, opens down if a < 0).

Front

What is the formula to find the vertex of a parabola given by y = ax² + bx + c?

Back

Vertex (h, k) where h = -b/(2a) and k = f(h).

Front

What is the discriminant in a quadratic equation?

Back

The value of b² - 4ac, which determines the nature of the roots.

Front

What does a positive discriminant indicate?

Back

Two distinct real roots.