Can someone please help me? I’m stuck and don’t understand.

I guess you are stuck with 7., because I don't see any notes there.
[tex] \sqrt{2c + 3} = 5[/tex]
square both sides
[tex] { ( \sqrt{2c + 3) } }^{2} = {(5)}^{2} [/tex]
the root and the square cancel each other
2c + 3 = 25
subtract 3 on both sides
2c = 22
devide by two on both sides
c = 11
Answer:
a) 4[tex]x^{2}[/tex] -4x + 1 = 0 (standard form. Just subtract 3 from both sides)
b) Vertex ([tex]\frac{1}{2}[/tex],0)
c) c = 11
Step-by-step explanation:
You got the line of symmetry correct.
Vertex looks good.
c) square both sides. solve for c.