Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h. k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 6, - 1), thus
y = a(x + 6)² - 1
To find a substitute one of the roots into the equation
Using (- 3, 0), then
0 = a(- 3 +6)² - 1
0 = 9a - 1 ( add 1 to both sides )
1 = 9a ( divide both sides by 9 )
a = 
, thus
y = (x + 6)² - 1 ← in vertex form
Expand factor and simplify
y = (x² + 12x + 36) - 1 ← distribute
y = x² + 
x + 4 - 1
= x² + x + 3 ← in standard form
Answer:
The y intercept is (0,13)
The equation of the line is y = -2x+13
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -2x+b
Substituting the point
3 = -2(5) +b
3 = -10 +b
Add 10 to each side
13 =b
The y intercept is (0,13)
The equation of the line is y = -2x+13
Answer:
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Step-by-step explanation:
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Answer:
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