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


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2) x = y² + 2y - 1


<em>4x-79=3x-29</em>
<em>Move the terms with "x" on the left, and the numbers on the right.</em>
<em>4x-3x=79-29</em>
<em>x=50</em>
Answer:
2x-7
Step-by-step explanation:
Answer:
x= -1/9
Step-by-step explanation:
6+2x=5-7x
-2x. -2x
6=5-9x
-5. -5
1=-9x/-9
-1/9=x