Write the equation of a quadratic function with roots as -6 and -4, and a vertex at (0, −24). Write the equation in standard form. a) y=−x2−10x−24 b) y=24x2+240x+96 c) y=x2+10x+24 d) y=−24x2−240x−96 e) There is no correct answer given.

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Write the equation of a quadratic function with roots as -6 and -4, and a vertex at (0, −24). Write the equation in standard form.  a) y=−x2−10x−24  b) y=24x2+240x+96  c) y=x2+10x+24  d) y=−24x2−240x−96  e) There is no correct answer given.

George Blue · Accepted Answer

Step 1  Equation of quadratic function with roots at -6 and -4 and vertex (0, −24)  Step 2  If function is ax2+bx+c  Then −6−4=−ba  ⇒ba=10  (−6×−4)=24=ca  y-intercept ⇒(0, −24)  i.e, at x=0, y=−24  This is satisfied by option (a)  y=−x2−10x−24

Write the equation of a quadratic function with roots as -6 and -4, and a...

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