The following graph represents the result of applying a sequence of transformati

Question

The following graph represents the result of applying a sequence of transformations to the graph of a basic function. Identify the basic function and describe the transformation(s). Write the equation for the given graph. How can the graph of f(x) = - Squareroot x + 1 be obtained from the graph of y = Squareroot x? A) Shift it horizontally 1 units to the right. Reflect it across the x-axis. B) Shift it horizontally 1 units to the left. Reflect it across the x-axis. C) Shift it horizontally 1 units to the left. Reflect it across the y-axis. D) Shift it horizontally -1 units to the left. Reflect it across the x-axis. What is the minimum number of x intercepts that a polynomial of degree 11 can have? Explain. A) 1 because a polynomial of odd degree crosses the x axis at least once. B) 11 because this is the degree of the polynomial. C) 0 because a polynomial of odd degree may not cross the x axis at all. D) Not enough information is given.

Explanation / Answer

7)

The minus sign means that y has changed it' polarity. Therefore, the reflection would have to come off the X axis.

Also, the same equation , if needed to be used will be horizonatally -1 units so that x can be accomoded to x+1.

So, the actual answer to this problem is B

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