Hello, please solve A&B Only answer if its correct, please show your work so i could understand how to solve. Thank you so much

A$.)$Design a quadratic function g $($x$)$with the range $(-$infinity,$5].$The parabola representing the function should have $(7,0)$and $(5,0)$as th x$-$intercepts. If f $=5,$let the other intercept be $(7^2,0)$

B$.)$Find the exact signed area between the graph of g$($x$)$and the x $-$axis between the two x $-$intercepts