If (-1, y) lies on the graph of y=2^2x then y=

Question

asked Aug 10, 2020 8.4k views

1 Answer

Denis Weerasiri · Answer 1 · 2020-08-16T23:57:27+0000

Answer:

y is 1/4 when x is -1 if I did interpret your equation right. Please see that I did.

I believe the equation to be
y=2^(2x) . If you meant
y=2^2x , please let me know.

Thanks kindly.

Explanation:

If (-1,y) lies on the graph of
y=2^(2x) , then by substitution we have:

$y=2^(2\cdot -1)$ .

We just need to simplify to determine y:

$y=2^(2 \cdot -1)$

Multiply the 2 and -1:

y=2^(-2)

Use reciprocal rule for exponents to get rid of the negative:

y=(1)/(2^2)

2^2 just means
2(2) :

y=(1)/(2(2))

y=(1)/(4) .