Answer:
(-2,1)
Step-by-step 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
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i) The given function is
The factored form is
The domain are the values of x for which the function is defined.
ii) To find the vertical asymptotes, equate the denominator to zero.
iii) To find the roots, equate the numerator to zero.
The root is 
iv) To find the y-intercept, put 
into the function.
The y-intercept is 
v) The horizontal asymptote is given by;
The horizontal asymptote is 
vi) The function is not reducible. There are no holes.
vii) The given function is a proper rational function.
Proper rational functions do not have oblique asymptotes.
The ratio of Julia's to Vlada's peas was 3:2.
1. Julia gave Vlada 15 peas.
2. Vlada had how many peas?
3. Vlada had 4:2 peas after Julia gave her 15 more peas. (3:2+15=4:2)
4. Julia still had 15 more than Vlada.
5. Julia had 5:7 because (4:2+15=5:7)
6. To find out the amount of peas she had BEFORE she gave Vlada the peas, you subtract 5:7 from 15. That would equal 4:2.
