Standard Form to Vertex Form

Front

Convert the equation y = x² + 4x into vertex form.

Back

y = (x + 2)² - 4

Front

Convert the equation y = x² + 4x + 11 into vertex form.

Back

y = (x + 2)² + 7

Front

The axis of symmetry line passes through which point?

Back

Vertex

Front

Which of the following forms are best to use if we want to identify the vertex of a quadratic equation?

Back

Vertex Form

Front

Which function is equivalent to y = x² - 6x + 10?

Back

y = (x - 3)² + 1

Front

What is the vertex form of a quadratic equation?

Back

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

Front

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

Back

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

Tags

CCSS.HSF-IF.C.7A

Front

How do you find the vertex from the standard form of a quadratic equation?

Back

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

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.

Front

What is the axis of symmetry in a quadratic function?

Back

A vertical line that divides the parabola into two mirror-image halves, passing through the vertex.