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Romashka [77]
3 years ago
12

What is the vertex of the quadratic function f(x)=(x-8)(x-2)?

Mathematics
1 answer:
maw [93]3 years ago
3 0

Answer:

(5, -9)

Step-by-step explanation:

f(x)=(x-8)(x-2)

We want the vertex.  So let us get this in Vertex Form.

f(x)  =  (x - 8)(x - 2) =  x^2 + 16 - 10x

f(x) = x^2 - 10x + 16

f(x) = x^2 -10x  + 25  - 25 + 16

f(x) = (x^2 -10x  + 25)  - 25 + 16

f(x) = (x - 5)^2 - 9

Vertex at  (5, -9)

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Answer:

The correct option is A) A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.

Step-by-step explanation:

Consider the provided expression.

−6 − (−2)

Open the parentheses and change the sign.

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Now draw this on number line.

First draw a number line is shown from −10 to 0 to 10. with scale of 2 unit on either side of the number line. Draw an arrow pointing from 0 to −6 Which show −6. Above this, another arrow pointing from −6 to −4 which shows −6 − (−2) = −4. A vertical bar is shown at the tip of the arrowhead of the top arrow.

The required number line is shown in the figure 1.

Hence, the correct option is A) A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.

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Step-by-step explanation:

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