11.5 Graphing Quadratics

Front

What is the equation for the axis of symmetry in a quadratic graph?

Back

x = h, where h is the x-coordinate of the vertex.

Front

What are the x-intercepts (zeros) of a quadratic function?

Back

The points where the graph intersects the x-axis, found by solving the equation f(x) = 0.

Front

What are the green dots on a quadratic graph called?

Back

Roots or x-intercepts.

Front

What is the range of a quadratic graph that opens upwards?

Back

y ≥ k, where k is the y-coordinate of the vertex.

Front

What is the domain of a quadratic graph?

Back

ℝ (all real numbers).

Front

What is the vertex of a quadratic function?

Back

The highest or lowest point on the graph, depending on the direction it opens.

Front

How do you find the vertex of a quadratic function in standard form?

Back

Use the formula h = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What does the 'a' value in the quadratic equation y = ax^2 + bx + c determine?

Back

The direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.

Front

What is the significance of the 'b' value in the quadratic equation?

Back

It affects the position of the vertex and the axis of symmetry.

Front

What is the significance of the 'c' value in the quadratic equation?

Back

It represents the y-intercept of the graph.