First think of the form a^2 + 2c + c^2
c in the question is clearly 3.
So we need first to add 8 for both sides to get rid of -8 and then add 9 to complete the square.
So it will be (x^2+3)^2 = 17
So the choice number 3 is the answer.
Hope this helps!
Answer:
Vertex: (5, -9)
Step-by-step explanation:
fix = (x-8)(x-2)
fix = x^2 - 2x - 8x + 16
fix = x^2 - 10x + 16
a = 1, b = -10, and c = 16
To find vertex:
x = -b/2a
x = -(-10)/2(1)
x = 10/2
x = 5
y = 5^2 - 10(5) + 16
y = 25 -50 + 16
y = -9
Vertex: (5, -9)
4 4/5 you make the whole number a fraction by putting a 1 under it and the multiply like normal then make it into a mixed number<span />
If you are saying it is fractions a 4/5 to 3/5 then it is decreasing
but if you are saying it is fractions like 4/3 to 5/5 then it is well it is still decreasing
Answer:
hi! this may all seem confusing but don't worry it's easy once you get it!
so we have a line this line y=4x-7 is what we will use to plugin our point
and (0,2) is your point!
2=4(0)+b
2=b
and usually you don't have to do that (HINT: if it's 0,a number it's already b like the number that isn't 0 is b aka the y intercept)
y=4x + 2 would be the answer!
REMEMBER: Parallel is always the same so you will use the SAME SLOPE!
Well what is the slope? Slope is always mx! you can find it using the slope formula if it is not given, like this equation it was given
If this said PERPENDICULAR then it would be negative reciprocal of your slope and same equation!
hope this helps :)
new question: write an equation of the line that contains the point (1,5) and have the same y-intercept as the line 2x+3y=6
so we need to move this from standard form to slope intercept
2x + 3y=6
-3y= -2x + 6
y= 2/3x - 2
now we've solved! our y intercept is now -2 and slope is 2/3x
okay and now let's plug it in!
again let's plugin our point
5= 2/3 (1) + b
4 1/3= b
so! y= 2/3x - 4 1/3