The graph of f(x) = x2 is translated to form g(x) = (x – 2)2 – 3. Which graph represents g(x)?
2 answers:
Answer:
See attached picture
Step-by-step explanation:
When functions are transformed there are a few simple rules:
• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
• Multiplying the function by a number less than 1 compresses it towards the x-axis.
• Multiplying the function by a number greater than 1 stretches it away from the x-axis.
The equation for g has been subtracted inside the parenthesis by 2 which will shift the graph 2 units to the right.
The equation for g has also been subtracted outside the parenthesis by 3 which will shift the graph 3 units down.
The graph is shown in black while f(x) is show in purple in the attached picture.
You might be interested in
Answer:
x = 4
Step-by-step explanation:
DE is parallel to AC and intersects the other 2 sides. It divides those sides proportionally, that is
=
, thus
=
( cross- multiply )
2(10 - x) = 3x ← distribute left side
20 - 2x = 3x ( subtract 3x from both sides )
20 - 5x = 0 ( subtract 20 from both sides )
- 5x = - 20 ( divide both sides by - 5 )
x = 4
