Graphing parabolas

Front

What is the vertex of the parabola represented by the equation y=x²+4x+3?

Back

(-2,-1)

Front

How can we find the x-coordinate of the vertex in the equation y=ax²+bx+c?

Back

-b/2a

Front

Which of the following parabolas will have a minimum? y = -x² + 4, y = -x² + x - 3, y = -x² - 2, y = x² + 2x - 8

Back

y = x² + 2x - 8

Tags

CCSS.HSF-IF.C.7A

Front

What is the axis of symmetry for the function f(x) = x² - 8x + 15?

Back

x = 4

Front

The axis of symmetry line passes through which point?

Back

vertex

Front

What is the standard form of a parabola?

Back

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

Front

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

Back

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

Tags

CCSS.HSF-IF.C.7A

Front

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

Back

Check the sign of 'a' in the equation y = ax² + bx + c.

Tags

CCSS.HSF-IF.C.7A

Front

What is the formula to find the y-coordinate of the vertex?

Back

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

Front

What is the significance of the vertex in a parabola?

Back

It represents the highest or lowest point of the parabola.