Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

PLEASE HELP ASAP - ILL GIVE BRAINLIEST

PLEASE HELP ASAP ILL GIVE BRAINLIEST class=

Sagot :

Answer:

4) [tex]y=-\frac{1}{3} (x-2)^2-3[/tex]   7) [tex]2x^2+12x+18[/tex]

5) [tex](-2,-3)[/tex]                    8) [tex](0,-3)[/tex]                            

Step-by-step explanation:

7) Add [tex]2y^2[/tex] to both sides of the equation.

    [tex]x-12y-18=2y^2[/tex]

    Add 12y to both sides of the equation.

    [tex]x-18=2y^2+12y[/tex]

    Add 18 to both sides of the equation.

    [tex]x=2y^2+12y+18[/tex]

    Use the form of [tex]ax^{2} +bx+c[/tex] to find the values of a, b, and c.

    a = 2, b = 12, c = 18

    Substitute the values of a and b into the formula [tex]d=\frac{b}{2a}[/tex]

    [tex]d=\frac{12}{2(2)}[/tex]

    Simplify the bottom.

    d = 3

    Find the value of e using the formula e = [tex]c-\frac{b^2}{4a}[/tex]

    Raise 12 to the power of 2

    [tex]e=18-\frac{144}{4(2)}[/tex]

    Multiply 4 by 2.

    [tex]e=18-\frac{144}{8}[/tex]

    Divide 144 by 8.

    [tex]e=18-1[/tex] · 18

    Multiply [tex]-1[/tex] by 8.

    [tex]e = 18-18[/tex]

    Subtract 18 from 18.

    e = 0

    Substitute the values of a, d, and e into the vertex form [tex]a(x+d)^2+e[/tex].

    [tex]2(y+3)^2+0[/tex]

    Set x equal to the new right side.

    [tex]x=2(y+3)^2+0[/tex]

    Use the vertex form, [tex]x=a(y-k)^2+h[/tex], to determine the values of a h & k.

    a = 2

    h = 0

    k = [tex]-3[/tex]

    Find the vertex [tex](h,k)[/tex]

    [tex](0,-3)[/tex]

   

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.