The team first experiments with changing the position of the curved pit. In the computer program, the vertex begins on the origi
n, and the curve is modeled by the parent quadratic equation, y = x2. Match each description with the equation that will create that pit.
1 answer:
Answer:
Step-by-step explanation:
This question is incomplete; find the complete question in the attachment.
Given curve is modeled by the quadratic equation,
y = x²
If the curved pit is shifted 2 units down,
Equation of the translated curve will be,
y = x² - 2
If the curved pit is translated (shifted) by 2 units left,
Equation of the new curve will be,
y = (x + 2)²
If the curved pit is shifted by 2 units right,
Equation of the translated curve will be,
y = (x - 2)²
If the curved pit is shifted 2 units up,
Equation of the translated curve will be,
y = x² + 2
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Answer:
D.
Step-by-step explanation:
We are given the graph of the transformed tangent function.
As, we can see that the graph is shifted 2 units upwards.
That is, the parent function is translated 2 units up.
So, the new function will be of the form, .
Thus, options A and C are not correct.
Moreover, 'If a function f(x) has period P, then the function cf(bx) will have period .
Also, form the figure, we see that the period of the graphed function is .
Since, have period
.
So, function in option B will have period , which is not possible.
<em>Further, function in option D have period .</em>
Thus, the equation of the graphed function is, .