ameliarose73 ameliarose73
  • 07-03-2019
  • Mathematics
contestada

write the equation of the axis of symmetty, and find the coordinates of the vertex of the graph of y=-x2-4x+5​

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MrsStrong
MrsStrong MrsStrong
  • 15-03-2019

Answer:

The axis of symmetry is x = -2 and the vertex is (-2, 9)

Step-by-step explanation:

To find the vertex of the standard form equation, use the formula x = -b/2a. Then substitute -b/2a into the equation and solve for y.

Here a = -1, b = -4 and c = 5.

Substitute the values and solve.

x = -(-4)/2(-1)

x = 4/-2

x = -2

Substitute x = -2.

y = -(-2)^2 -4(-2) + 5

y = -4 + 8 + 5

y = 9

So the axis of symmetry is x = -2 and the vertex is (-2, 9).

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