Fill in the Blank 3 points Rewrite the following function in standard form (Fill in the correct number for a,b, and c respectively. If your number is negative, just type a negative sign in front it. y=2(x+3)^2-5 y=square x^2+square x+ square

To rewrite the function \( y = 2(x+3)^2 - 5 \) in standard form, we need to expand the expression and simplify it.<br /><br />First, expand \( (x+3)^2 \):<br /><br />\[<br />(x+3)^2 = x^2 + 6x + 9<br />\]<br /><br />Now substitute this back into the original equation:<br /><br />\[<br />y = 2(x^2 + 6x + 9) - 5<br />\]<br /><br />Distribute the 2:<br /><br />\[<br />y = 2x^2 + 12x + 18 - 5<br />\]<br /><br />Simplify by combining like terms:<br /><br />\[<br />y = 2x^2 + 12x + 13<br />\]<br /><br />Thus, the function in standard form is:<br /><br />\[<br />y = 2x^2 + 12x + 13<br />\]<br /><br />So, the values for \( a, b, \) and \( c \) are:<br /><br />\( a = 2 \), \( b = 12 \), \( c = 13 \).