We are given the following equation:
Subtract both sides by 17
Take the positive/negative square root of both sides
This should be your answer. Let me know if you have any questions, thanks!
A parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at x = -2.
2 answers:
Answer:
Graph represented by option D is the correct choice.
Step-by-step explanation:
We have been given that a parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at .
Since the minimum value of our given parabola is 0, so y-coordinate of vertex of parabola would be 0. This means that vertex of parabola will be at x-axis.
Since Since the minimum value of our given parabola is 0, so our parabola will be upward opening.
We are also told that parabola has an axis of symmetry at . This means that parabola will be symmetric about line
.
The y-intercept of parabola is 4. This means that parabola will intersect y-axis at point .
Upon looking at our given choices, we can see that option D is the correct choice as it meets all the given conditions.
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The given function is:
The parents functions of g(x) will be:
The domain of g(x) and its parent function is the same i.e. Set of all Real numbers except 0.
The range of g(x) and its parent function is the same i.e. set of all real numbers except 0.
g(x) and its parent function only decrease. They do not increase over any interval. However, the interval in which they decrease is the same for both.
So, the correct answers are:
The domain of g(x) is the same as the domain of the parent function.
<span>The range is the same as the range of the parent function.
</span><span>The function g(x) decreases over the same x-values as the parent function.</span>
The parents functions of g(x) will be:
The domain of g(x) and its parent function is the same i.e. Set of all Real numbers except 0.
The range of g(x) and its parent function is the same i.e. set of all real numbers except 0.
g(x) and its parent function only decrease. They do not increase over any interval. However, the interval in which they decrease is the same for both.
So, the correct answers are:
The domain of g(x) is the same as the domain of the parent function.
<span>The range is the same as the range of the parent function.
</span><span>The function g(x) decreases over the same x-values as the parent function.</span>