The coordinate of the vertex is; (h, k) = (3, -5)
The final equation of the parabola is; y = 5(x - 3)² - 5
<h3>How to find the vertex of a Parabola?</h3>
The vertex is the coordinate of the crest or trough of the curve. Now, in the given graph, we only have a Trough which is the lowest point of the graph.
The coordinate of the vertex is; (h, k) = (3, -5)
2) Since the general equation is;
y = a(x - h)² + k
We will have;
y = a(x - 3)² - 5
At x = 2, y = 0. Thus;
0 = a(2 - 3)² - 5
a - 5 = 0
a = 5
3) The final equation of the parabola is;
y = 5(x - 3)² - 5
Read more about Parabola Vertex at; brainly.com/question/17987697
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Answer:
a=-0.5
Step-by-step explanation:
Distributive property for left side, difference of squares for right side.
8a-9a^2=-40+36-9a^2
-9a^2 cancels out
8a=-4
a=-0.5
Answer:
132 degrees
Step-by-step explanation:
Answer:
Domain: (-∞,∞) OR All Real Numbers
Step-by-step explanation:
(f/g)(x) ⇒ f(x)/g(x) ⇒ x/1
Therefore, we look at the domain of the function x/1. There will almost always only be a gap if the denominator = 0. However, 1 ≠ 0, so therefore, there are no gaps or endpoints. Therefore, the domain is all real numbers
