MATH SOLVE

3 months ago

Q:
# Y = 2x^2-12x+25 write in vertex form plz show work

Accepted Solution

A:

The vertex form of y = 2x² - 12x + 25 is y = 2(x - 3)² + 7Step-by-step explanation:The vertex form of the quadratic equation y = ax² + bx + c isy = a(x - h)² + k, where(h , k) are the coordinates of the vertex pointa, b, c are constant where a is the leading coefficient of the function (coefficient of x²) , b is the coefficient of x and c is the y-intercept [tex]h=\frac{-b}{2a}[/tex]k is the value of y when x = h∵ y = 2x² - 12x + 25∵ y = ax² + bx + c∴ a = 2 , b = -12 , c = 25∵ [tex]h=\frac{-b}{2a}[/tex]∴ [tex]h=\frac{-(-12)}{2(2)}[/tex]∴ [tex]h=\frac{12}{4}[/tex]∴ h = 3To find k substitute y by k and x by 3 in the equation above∵ k is the value of y when x = h∵ h = 3∴ k = 2(3)² - 12(3) + 25 = 7∵ The vertex form of the quadratic equation is y = a(x - h)² + k∵ a = 2 , h = 3 , k = 7∴ y = (2)(x - 3)² + 7∴ y = 2(x - 3)² + 7The vertex form of y = 2x² - 12x + 25 is y = 2(x - 3)² + 7Learn more:You can learn more about quadratic equation in brainly.com/question/9390381#LearnwithBrainly