Standard Form to Vertex Form

Front

What are the green dots called?

Back

roots or x-intercepts

Front

What is the formula to find the vertex of a parabola?

Back

x = -b / (2a)

Front

Convert to vertex form: y = 1/2x^2 - 8x + 29

Back

y = 1/2(x - 8)^2 - 29

Front

Given the equation y = 3(x + 5)^2 - 4, what is the vertex of the parabola?

Back

(-5, -4)

Front

Convert to vertex form: y = -x^2 + 10x - 21

Back

y = -(x - 5)^2 + 21

Front

What is the axis of symmetry for the parabola y = ax^2 + bx + c?

Back

x = -b / (2a)

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point of the parabola.

Front

How do you determine if a parabola opens upwards or downwards?

Back

If a > 0, it opens upwards; if a < 0, it opens downwards.

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c

Front

Convert to vertex form: y = 2x^2 - 8x + 6

Back

y = 2(x - 2)^2 - 2