MATLAB: Overlaying manipulated RBG with grayscale image

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Hello all!
I have an all red image ("red") that I combined with a binary mask ("mask"), such that only the pixels that are true in the binary mask is shown. I need the transparent red to be displayed as an overlay with a grayscale background image ("background"). Essentially, I want the transparent red to highlight parts of my grayscale image. I built a transparent red image corresponding to the binary mask with the following:
red=zeros(512,512,3);
red(:,:,1)=1;
hold on
h = imshow(red);
hold off
set(h, 'AlphaData', mask.*0.3)
I cannot figure out how to overlay this image with my background grayscale image however… The two keep showing as separate figures. Thank you so much!