What will the equation be if f(x)= x^2 is translated 6 units left and 3 units up?
2 answers:
Answer:
g(x) = (x + 6)² + 3
Step-by-step explanation:
To move horizontally replace each x with (x ± c)
if you move it to the right, you need x - c
if you move it to the left , you need x + c
Since we are moving to the left 6, we will have: g(x) = x² + 6
To move up or down, add or subtract the constant equal to the units moved, so to move it up 3 would give us:
g(x) = (x + 6)² + 3
A graph is below for further conformation.
hope this helps!
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Given:
The lengths of the sides of a triangle are 6, 11, 16.
To find:
Whether the given triangles is a right angle triangle or not.
Solution:
Pythagoras theorem:
A triangle is a right angle triangle if the sum of squares of two smaller sides is equal to the square of the largest sides.
In the given triangle the length of the largest side is 16.
Square of the largest sides is:
Sum of the squares of the two smaller sides is:
Since , therefore the given triangle is not a right angle triangle.