Answer:
the answer would be d
Step-by-step explanation:
Answer:
uyjytyhy
Step-by-step explanation:
tthtyi
tyujftyu
yijy
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:
f(x)=(1.023) ⋅ 3^x Growth
f(x)=3 ⋅ (0.072)^x Decay
f(x)=4 ⋅ (0.035)^x Decay
f(x)=2 ⋅ (1.34)^x Growth
Step-by-step explanation:
An exponential function at its heart has a base number of rate. If the rate is less than 1, then the function decays. If the base number or rate is greater than 1, then the function grows and increase.
f(x)=(1.023) ⋅ 3^x Rate 3 - Growth
f(x)=3 ⋅ (0.072)^x Rate 0.072 - Decay
f(x)=4 ⋅ (0.035)^x Rate 0.035 - Decay
f(x)=2 ⋅ (1.34)^x Rate 1.34 - Growth
3/(5x) + x = 3/(5x) + x/1 * (5x)/(5x)
= 3/(5x) + 5x²/5x
= (3+5x²) / 5x
