Mathematics

Grade-8

Easy

Question

# Match the function g(x) = (x – 4)^{2} - 6 to the graph.

Hint:

Mathematics

Grade-8

Easy

Question

Hint:

g(x) = (x – 4)

TO FIND-

Graph of the given function.

SOLUTION-

>> Option b is eliminated because it has point (-5,-5) on the graph.

However, as per the given function-

g(x) = (x – 4)

∴ g(x) = (-5 - 4)

∴ g(x) = (-9)

∴ g(x) = 81 - 6

∴ g(x) = 75

Since, (-5,-5) does not satisfy the given function, it is not the correct answer.

>> Option c is eliminated because it has point (-5,5) on the graph.

Hence, option c is also eliminated,

>> Option d is eliminated because it has point (5,-3) on the graph.

However, as per the given function-

g(x) = (x – 4)

∴ g(x) = (5 - 4)

∴ g(x) = (1)

∴ g(x) = 1 - 6

∴ g(x) = -5

Since, (5,-5) does not satisfy the given function, it is not the correct answer.

Hence, option a is the correct answer.

FINAL ANSWER-

Option 'a' is the correct answer to the given question.