Question

Identify the zeros of each function. y=(x-7)^2

Answer 1

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Answer:

  x = 7 (multiplicity 2)

Step-by-step explanation:

When the function is written in factored form, the zeros are the values of the variable that make the factors zero.

  y = (x -7)(x -7)

The values x = 7 and x = 7 will make the factors zero. The zero is said to be x=7 with multiplicity 2.

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On the graph, the zeros are the x-intercepts (where y=0). The graph only touches the x-axis, but does not cross. With some experience, you can recognize that this is a zero with even multiplicity (2).