Write 10³ as a multiplication expression having repeated factors.
2 answers:
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Answer:
f(x) = (x - 4)^2
Step-by-step explanation:
When plotted upon a graph, the function passes through the line. You can find the vertex by using the formula: f(x) = a(x - h)^2 + k
h = 4, meaning the vertex is (4, 0)
Hope this helps!
Answer:
x^2/25 +y^2/9 = 1
Step-by-step explanation:
You can think of an ellipse as a circle with a different scale factor in the x-direction than in the y-direction. When either dimension is stretched by a factor of k, the corresponding variable (v) is replaced by (v/k).
Here, the unit circle
x^2 +y^2 = 1
is stretched by a factor of 3 vertically (in the y-direction) and a factor of 5 horizontally (in the x-direction). That means we can replace x with (x/5) and y with (y/3) in the above equation to get ...
(x/5)^2 +(y/3)^2 = 1
Traditionally, the denominator is written as a number, not a square, so the equation would be ...
x^2/25 +y^2/9 = 1
