Question

Graph the following function. Show the axis of symmetry, the vertex, and all of your work on how you graphed it.

y = -3x^2 - 6x + 5

Please show your work and give a graph.

Answer 1

the axis of symmetry is x = -1

the vertex is (-1,8)

the y intercept is (0,5) let x=0

because it is symmetrical

x=-2 will also be -5 (-2,5)

Explanation:

y = -3x^2 - 6x + 5

to find the axis of symmetry ax^2 +bx+c

h = -b/2a

h = -(-6)/ 2 (-3)

h = 6/-6

h = -1

the axis of symmetry is x = -1

the vertex is (h,k)

to find k substitute h into the equation

k (or y) = -3 (-1)^2 -6(-1) +5

k = -3 *1 +6+5

k = 8

the vertex is (-1,8)

the y intercept is (0,5) let x=0

because it is symmetrical

x=-2 will also be -5 (-2,5)