Write the equation of a quadratic function with roots as

Carolyn Moore

Carolyn Moore

Answered question

2021-12-06

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=x210x24
b) y=24x2+240x+96
c) y=x2+10x+24
d) y=24x2240x96
e) There is no correct answer given.

Answer & Explanation

George Blue

George Blue

Beginner2021-12-07Added 18 answers

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 64=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=x210x24

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