Question

Which of the following graphs represents the quadratic function f(x)=(x-3)^2+5

Answer 1

Answer:

Option (2) is correct.

Step-by-step explanation:

Given: A quadratic equation $f(x)=(x-3)^2+5$

We have to choose the correct graph from the given options for the given quadratic equation.

A second form of a quadratic can be written in the following form:

$f(x) = a(x - h)^2 + k$

Where (h, k) is the vertex point.

Comparing with the given quadratic equation $f(x)=(x-3)^2+5$ , we have coordinate of vertex as (3,5).

So out of given graphs only second has vertex (3,5).

Option (2) is correct.

Answer 2

From the given options, Option - 2 will be the answer.

     Given  equation of the quadratic function is,

• f(x) = (x - 3)² + 5

By comparing this equation with the vertex form of parabolic equation,

  y = (x - h)² + k

Here, (h, k) is the vertex of the parabola.

From the given function, vertex of the parabola will be (3, 5) which lies in the 1st quadrant of the graph.

Out of all four options, only 2nd graph has the vertex in the 1st quadrant.

      Therefore, Option (2) will be the answer.

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