Focus (-3,3) vertex (0,3). What is the equation for the parabla
1 answer:
Answer:
(y - 3)² = 12(x + 3)
Step-by-step explanation:
The focus is to the right of the vertex, so the parabola is sideways and opens to the right.
The conic form of a sideways parabola is
(y - k)² = 4p(x - h)
The vertex is at h = -3; k = 3
The focus is at (h + p, k) = (-3 + p, 3)
The vertex and focus are three units apart, so p = 3.
The equation of your parabola is
(y - 3)² = 12(x + 3)
The figure below shows the graph of your parabola with its focus and vertex.
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Answer:
y = 3/4x - 2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula:
Step 1: Define
(0, -2) y-intercept
(4, 1) random point
Step 2: Find slope <em>m</em>
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y = 3/4x + b
Step 3: Write linear equation
y = 3/4x - 2