Please help me, i have a test soon and i don’t understand this!
2 answers:
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the question in English
Mateo will reproduce a photo measuring 5 cm per side on a scale of 3/4
How much will the square side of the copy measure?
Will the size of the copy be larger or smaller than the original?
we know that
the scale factor is equal to
Let
x----------> the original length side
y--------> the copy length side
we have that
substitute the values
therefore
<u>the answer Part a) is </u>
the length side of the copy measure is
Part b)
we know that
the size of the original photo is------>
the size of the copy is------>
so
therefore
<u>the answer part b) is</u>
The size of the copy be smaller than the original
Answer:
A) Q(x) = (x + 3)² + 5, and the vertex is (-3, 5)
B) R(x) = (x - 3)² + 2, and the vertex is (3, 2)
C) S(x) = (x - 1)² - 5, and the vertex is (1, -5)
Step-by-step explanation:
The given function is P(x) = (x + 3)² + 2
The given function is a parabolic function in vertex form, f(x) = a·(x - h)² + k, and vertex, (h, k)
By comparison, the vertex of the function P(x) = (x + 3)² + 2 is (-3, 2)
A) A function f(x) translated α units UP gives
f(x) (translated α units UP) → f(x) + α
A translation of the function 3 units UP is given by adding 3 to the given function as follows;
Q(x) = P(x) + 3
∴ Q(x) = (x + 3)² + 2 + 3 = (x + 3)² + 5
Q(x) = (x + 3)² + 5, and the vertex by comparison to f(x) = a·(x - h)² + k, and vertex, (h, k) is (-3, 5)
B) A function f(x) translated <em>b</em> units RIGHT gives;
f(x) translated <em>b</em> units right → f(x - b)
∴ P(x) = (x + 3)² + 2 translated 6 units RIGHT gives;
P(x) = (x + 3)² + 2 (translated 6 units RIGHT) → R(x) = (x + 3 - 6)² + 2 = (x - 3)² + 2
R(x) = (x - 3)² + 2, and the vertex by comparison is (3, 2)
C) A function translated α units DOWN and <em>b</em> units RIGHT is given as follows;
Therefore, the given function, P(x) = (x + 3)² + 2, translated 7 units DOWN and 4 units RIGHT gives;
S(x) = P(x - 4) - 7 = (x + 3 - 4)² + 2 - 7 = (x - 1)² - 5
S(x) = (x - 1)² - 5, and the vertex by comparison is (1, -5)