If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²
<h3>Transformation of functions</h3>
Transformation is a way of changing the position of an object o the xy plane. Given the parent function expressed as
f(x) = x^2
If the function is shifted to the left by unit, then we will have h(x) = (x - 1)²
If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²
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Answer:
12 years and 16 years
Step-by-step explanation:
their ages are in the ratio 3 : 4
let Anjali = 3x and Aditya = 4x ← present ages
In 8 years then
Anjali = 3x + 8 and Aditya = 4x + 8, hence
3x + 8 + 4x + 8 = 44 ← sum of their ages in 8 years
7x + 16 = 44 ( subtract 16 from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
Anjali is 3x = 3 × 4 = 12 years old and Aditya = 4x = 4 × 4 = 16 years old
Answer:
-1=y
Step-by-step explanation:
Answer:
a. Tim has completed a greater amount of work.
b. Together they have completed part of two projects.
Step-by-step explanation:
Let us assume that the project on which Jaime and Tim are working has x amount of space.
Now, given that Jaime has 5 over 11 space of a project completed while Tim has finished 7 over 13 space of the same project.
Therefore, Jaime has completed amount of space and Tim has finished amount of space.
a. Now, (7x) \times 11 > (5x) \times 13
⇒
Therefore, Tim has completed the greater amount of work. (Answer)
b. Together they have completed amount of space out of 2x amount of space. (Answer)