(x-h)^2=4P(y-k), vertex is (h,k)
P is distance from vertex to directix
remember to subtract P from the y value of the vertex (p-k) and that y value is the directix, y=p-k
nut
ok so one way is to just graph them on a graphing utility
remember if the graph opens up, then the directix is below that
or we can convert to 4P(y-k)=(x-h)^2 form where P is distance from directix
I will only convert the 1st one fully, you should be able to do the rest
1. y=-x^2+3x+8
multiply both sides by -1 since we don't like the x^2 term negative
-y=x^2-3x-8
add8 to both sides
-y+8=x^2-3x
take 1/2 of linear coeficient and square it and add to both sides
-3/2=-1.5
(-1.5)^2=2.25
-y+10.25=x^2-3x+2.25
factor perfect square
-y+10.25=(x-1.5)^2
force undistribute -1 in left side
(-1)(y-10.25)=something, we don't care anymore for now
factor out a 4 in -1
4(-1/4)(y-10.25)
k=10.25
p=-1/4=-0.25
directix=k-p=10.25-(-0.25)=10.5
directix is y=10.5
basically completee the square with x and find P by force factoring a 4 out
2. directix: y=-1.75
3. directix: y=1.5
4. directix: y=17.25
5. d: -37.5
6. d: 9.25
7. d=2.625
order them yourself
C. non linear this will be the answer
Answer:
Step-by-step explanation:
Option B 2. Now is the correct answer because when we multiply 6 by 2 we get 12 then we multiply 12 by 2 we get 24
I am old, so I like to use paper & pencil
The simplified form of the expression; (3/4)-¹ as given in the task content is; 4/3.
<h3>What is the simplified form of the expression as given in the task content?</h3>
It follows from the task content that the expression in discuss can be simplified as follows by the laws of indices;
(3/4)-¹
Hence, due to negative exponent, the result is;
= 1 ÷ (3/4)¹
= 1 × (4/3)
= 4/3.
Read more on indices;
brainly.com/question/170984
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