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determine the type and key parts of the graph of the function

Determine The Type And Key Parts Of The Graph Of The Function class=

Sagot :

ANSWER:

Parabola

Vertex (2, 0)

Parabola opens: upward

STEP-BY-STEP EXPLANATION:

We have the following function:

[tex]y=\mleft(x-2\mright)^2[/tex]

Since x is squared, the form of the function is parabolic and having a plus sign in the dependent term, the parabola opens upwards.

The vertex would be when y = 0, since no parameter affects the function, therefore:

[tex]\begin{gathered} 0=(x-2)^2 \\ x-2=0 \\ x=2 \\ \text{ the vertex is:} \\ (2,0) \end{gathered}[/tex]