Desmos Graphing Calculator

CalcReferenceCopy

Math·Advanced Math·Equivalent expressions

medium

$f(x)=26(2{)}^x+4(2{)}^x$

The function $f$ is defined by the given equation. Which of the following equivalent forms of $f$ displays, as a coefficient or a base, the $y$-coordinate of the $y$-intercept of the graph of $y=f(x)$ in the $xy$-plane?

A

$f(x)=104(2{)}^{x-2}+16(2{)}^{x-2}$

B

$f(x)=2(13(2{)}^x+2(2{)}^x)$

C

$f(x)=26(4{)}^{\frac{x}{2}}+4(4{)}^{\frac{x}{2}}$

D

$f(x)=30(2{)}^x$