Answer:
The turning point of the graph is at (3,-16)
Step-by-step explanation:
The general equation of curve is given as:
y = x² + ax + b
The two point for which the equation satisfies is (0,-7) and (7,0).
Substitute (0,-7) in the general equation:
y = x² + ax + b
-7 = 0² + a(0) + b
b = -7
Substitute (7,0) in the general equation:
y = x² + ax + b
0 = 7² + 7a + b
Where b = -7
0 = 49 + 7a - 7
0 = 42 + 7a
a = -6
The equation of the curve is:
a = -6 and b = -7
y = x² + ax + b
y = x² - 6x - 7
Graph of the equation is attached below.
We can see that the the turning point of the graph is at (3,-16)
Number 1 is Rio Grande and number 2 is St. Lawrence River
Step-by-step explanation:
Answer:
Step-by-step explanation:
Function f(x)=|x| is transformed to create function g(x)=|x+4|+3. What transformations are performed to function f to get function g? Select each correct answer.
Function f is translated 4 units to the right.
Function f is translated 3 units to the left.
Function f is translated 4 units down.
(this one is correct) Function f is translated 3 units up.
Function f is translated 4 units up.
(this one is correct) Function f is translated 4 units to the left.
Function f is translated 3 units to the right.
Function f is translated 3 units down.
Answer:
x = 11, y = 8
Step-by-step explanation:
ΔABC and ΔFDE are congruent by the postulate SSS
Equate the congruent sides in the 2 triangles
BC = ED, that is
x + 3 = 14 ( subtract 3 from both sides )
x = 11
-------------------------------------
DF = AB, that is
x - y = 3 ← substitute x = 11
11 - y = 3 ( subtract 11 from both sides )
- y = 3 - 11 = - 8 ( multiply both sides by - 1 )
y = 8
