Answer: 1) Vertex: (6, -2) Focus: (6, -7/4) Directrix: y = -9/4
2) Vertex: (-2, -1) Focus: (-7/4, -1) Directrix: x = -9/4
<u>Step-by-step explanation:</u>
Rewrite the equation in vertex format y = a(x - h)² + k or x = a(y - k)² + h by completing the square. Divide the b-value by 2 and square it - add that value to both sides of the equation.
- (h, k) is the vertex
- p is the distance from the vertex to the focus
- -p is the distance from the vertex to the directrix

1) y = x² - 12x + 34


*******************************************************************************************
2) x = y² + 2y - 1


Answer:

Step-by-step explanation:
When we scale an object by a scale factor, the side lengths become the scale factor times bigger than the previous sides. Therefore, with a scale factor of 6, the side lengths would be multiplied by 6.

Hope this helped!
Answer: 2n + 2 should be your answer
Answer:
N:10
Step-by-step explanation:
Answer: 381.51 cubic inches
Step-by-step explanation:
1. Use the formula: V = π
h, or in this case, 3.14(
)(6)
2. Simplify to 3.14(20.25)(6)
3. Simply multiply all three numbers using a calculator, or one by one if that's the preferred option.
4. You get: 381.51 cubic inches.