Much help and a explanation would be really nice please and thank you

Mr. walker gave his class the function f(x) = (x + 3)(x + 5). four students made a claim about the function. each student’s claim is below. jeremiah: the y-intercept is at (15, 0). lindsay: the x-intercepts are at (–3, 0) and (5, 0). stephen: the vertex is at (–4, –1). alexis: the midpoint between the x-intercepts is at (4, 0). which student’s claim about the function is correct?

G(x) = 2 sin(2x - π) + 4. using complete sentences, explain how to find the minimum value for the function.

Write the expression as a single natural logarithm. 2 in a - 4 in y