The quadratic equation is given by:
y = 3x² + 10x - 8
The standard equation of a parabola is given by:
y = ax² + bx + c
Where a, b, c are constants
At point (4, 80):
80 = a(4)² + b(4) + c
16a + 4b + c = 80 (1)
At point (-3, -11):
-11 = a(-3)² + b(-3) + c
9a - 3b + c = -11 (2)
At point (-1, -15):
-15 = a(-1)² + b(-1) + c
a - b + c = -15 (3)
Solving equations 1, 2 and 3 simultaneously gives:
a = 3, b = 10, c = -8
Therefore the quadratic equation becomes:
y = 3x² + 10x - 8
Find out more on quadratic equation at: brainly.com/question/1214333
Answer:
A.) Max at x = 6 and Min at x = -6
Step-by-step explanation:
We say that f(x) has a relative (or local) maximum at x=c if f(x)≤f(c) f ( x ) ≤ f ( c ) for every x in some open interval around x=c . We say that f(x) has an absolute (or global) minimum at x=c if f(x)≥f(c) f ( x ) ≥ f ( c ) for every x in the domain we are working on.
Option C: 126° is the correct answer
Step-by-step explanation:
When two lines intersect, the four angles are formed. The angles vertically opposite with same vertex are called vertical opposite angles.
The opposite vertical angles are equal.
In the given figure, the pairs of vertically opposite angles are e,h and f,g.
Given
∠e = 126°
The measurement of e and h will be equal as they are vertically opposite
So,
m∠e = m∠h
m∠h = 126°
Hence,
Option C: 126° is the correct answer
Keywords: Vertical angles, lines
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