Parabola in Vertex Form - Basics Algebra 2

Front

What is the graph of a quadratic function called?

Back

Parabola

Front

When graphing a parabola that hasn't been stretched or compressed, how do you move from the vertex?

Back

Right 1 Up 1 and then Right 2 Up 4

Front

What is the green dashed line in a parabola called?

Back

Axis of Symmetry

Front

What is the range of the graph of a parabola that opens upwards with a vertex at (0,0)?

Back

0 ≤ y ≤ ∞

Front

If a parabola is translated left 5 and up 2, what is the new vertex if the original vertex was at (0,0)?

Back

(-5, 2)

Front

What does the vertex form of a quadratic function look like?

Back

y = a(x-h)² + k, where (h,k) is the vertex.

Front

What does the 'a' value in the vertex form of a quadratic function indicate?

Back

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

Front

What are the x-intercepts of a parabola?

Back

The points where the graph intersects the x-axis.

Front

How do you find the axis of symmetry for a parabola in vertex form?

Back

The axis of symmetry is the vertical line x = h, where (h,k) is the vertex.

Front

What is the vertex of the parabola given by the equation y = 2(x-3)² + 4?

Back

(3, 4)