The value of x in the equation (x - 5)² = 25 is 10.
<h3>How to solve an equation?</h3>(x - 5)² = 25
Take the square root of both sides
Therefore,
√(x - 5)² = √25
x - 5 = 5
add 5 to both sides
x - 5 + 5 = 5 + 5
x = 10
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Answer:
The first option,
Step-by-step explanation:
Because the graph is showing a quadratic function we need to start by the equation of a quadratic function in its vertex form, which is:
, where:
a= is a transformation coefficient
(h,k)=vertex coordinates
Because the vertex is (2,1) then h=2 and k=1, using the vertex form we obtain:
Now, because we have an extra point (0,5), we can find 'a' as follows:
, which can be simplified as:
Then the vertex form of the graph is:
, which is the first option.