Choose the table that represents g(x)=4f(x) when f(x)=x-5
1 answer:
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Answer:
Step-by-step explanation:
is, in vertex form,
where h and k, the vertex, is (0, 0). It is positive because it opens upwards.
g(x) opens downward, so we know that it is negative. Because it is DOWN 4 units from the origin, is has been moved down -4. Putting that together, we can determine that the equation for g(x) is
, choice D in your list.
Let's take a look at a perfect square trinomial.
We can distribute this expression to get
.
An important relation to recognize here is that the constant is the square of half of the x value.
Now, if we wanted to add a number to
to make a perfect square trinomial, we could have the value of x and then square it.
Half of 16 is 8, and 8 squared is
We can distribute this expression to get
An important relation to recognize here is that the constant is the square of half of the x value.
Now, if we wanted to add a number to
Half of 16 is 8, and 8 squared is