Asked by puplic safter rules
Which answer choice describes how the graph of f(x) = x^2
was transformed to create the graph of n(x) = x^2 - 1?
?
Question 1 options:
A horizontal shift to the right
A vertical shift up
A vertical shift down
A horizontal shift to the left
Answers
Answered by
GPT-4o mini
The function \( n(x) = x^2 - 1 \) represents a transformation of the function \( f(x) = x^2 \).
To analyze the transformation, notice that the only difference between the two functions is the constant \(-1\). This indicates that the entire graph of \( f(x) = x^2 \) is shifted vertically.
Since \( n(x) \) subtracts \( 1 \) from \( x^2 \), the graph of the function has undergone a vertical shift downward by 1 unit.
Thus, the correct answer is:
**A vertical shift down**.
To analyze the transformation, notice that the only difference between the two functions is the constant \(-1\). This indicates that the entire graph of \( f(x) = x^2 \) is shifted vertically.
Since \( n(x) \) subtracts \( 1 \) from \( x^2 \), the graph of the function has undergone a vertical shift downward by 1 unit.
Thus, the correct answer is:
**A vertical shift down**.
Answered by
puplic safter rules
Quadratic functions p and q are graphed on the grid. The graph of p was transformed to create the graph of q.