Convert y=0.4(x -3)squared +4 to standard form

Step-by-step explanation:

Given:

The quadratic equation in vertex form is given as:

The standard form of a quadratic equation is:

Now, in order to convert the given equation into standard form, we have to expand using the binomial expansion given by:

Here,

Therefore,

Now, plug in this expanded form into the original equation. This gives,

Now, we use distribute 0.4 inside the parenthesis. This gives,

Therefore, the standard form of the given equation is:

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step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)