Answer: 1. x = (y - 2)² + 8

3. y = 2(x +9)² + 7
<u>Step-by-step explanation:</u>
Notes: Vertex form is: y =a(x - h)² + k or x =a(y - k)² + h
- (h, k) is the vertex
- point of vertex is midpoint of focus and directrix:


- p is the distance from the vertex to the focus
1)

Now let's find the a-value:

Now, plug in a = 1 and (h, k) = (-8, 2) into the equation x =a(y - k)² + h
x = (y - 2)² + 8
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2)

Now let's find the a-value:

Now, plug in a = -1/2 and (h, k) = (1, 10) into the equation x =a(y - k)² + h

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3)

Now let's find the a-value:

Now, plug in a = 2 and (h, k) = (-9, 7) into the equation y =a(x - h)² + k
y = 2(x +9)² + 7
54-30/3=54-10=44
The blanks are 30, 10 and 44
Answer:

Step-by-step explanation:
Given
Negative integer J
Required
Represent as an inequality of its inverse
The question didn't state if it's additive inverse or multiplicative inverse;
<em>Since the question has to do with negation, I'll assume it's an additive inverse</em>
<em></em>
The inverse of -J is +J
To represent as an inequality (less than or equal), we have:

Solving further, it gives

4Step-by-step explanation:
Answer:
(3x+2)(x+5)
Step-by-step explanation: