Question

What is the minimum point of the graph???

Answer 1

Explanation:

y=2x²+8x+9

to find the minimum or maximum point x=-b/2a

x=-8/4=-2

y=2(-2)²+8(-2)+9

y=8-16+9

y=1

minimum point is (-2,-1)

Answer 2

(-2,1)

Explanation:

Since this is an upwards opening parabola, the minimum point is at the vertex

We can find the x coordinate of the vertex by

y = 2x^2 +8x +9

where a=2 b =8 and c =9

x = -b/2a

x = -8/(2*2)

= -8/4 = -2

The x coordinate is -2

Now substitute this in to find the y coordinate

y = 2(-2)^2 +8(-2)+9

= 2*4 -16+9

8-16+9

=1

The vertex = (-2,1), which is the minimum point