Question

Which describes the graph of y=(x-5)^2 -4

Answer 1

Answer:

Use semi-log paper for plotting Y = log y instead of y against x.

The graph is the straight line Y = (log 2) x + log 5.

Explanation:

y is function of the form

b

a

x

.

Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.

Here, taking logarithms,

Y = log y = log 5 + x log 2.= m x + c.

Slope

d

Y

d

x

is log 2 and Y-intercept is 5 on the log scale.

Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y.

Step-by-step explanation:

y is function of the form

b

a

x

.

Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.

Here, taking logarithms,

Y = log y = log 5 + x log 2.= m x + c.

Slope

d

Y

d

x

is log 2 and Y-intercept is 5 on the log scale.

Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y