A department store receives a shipment of 1,000 glassesOut of a random sample of 10 glasses, 2 are broken. How many would you ex
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Answer:
Step-by-step explanation:
To write the quadratic in standard form, begin by writing it in vertex form
Where (h,k) is the vertex of the parabola.
Here the vertex is (-3,-2). Substitute and write:
To find a, substitute one point (x,y) from the parabola into the equation and solve for a. Plug in (0,7) a y-intercept of the parabola.
The vertex form of the equation is .
To write in standard form, convert vertex form through the distributive property.
If is divided by
, then
for some polynomials
. Moreover,
(because
), so there exists
such that
for all
. But if we calculate
, it turns out that
, so
.