Answer:
f(x) = -2 (x + 2)² - 4
Step-by-step explanation:
f(x) = a (x - h)² + k (h , k) is vertex h = -2 k = -4
pass point (-1 , -6) f(x) = -6 and x = -1
-6 = a (-1 - (-2))² + (-4)
-6 = a - 4
a = -2
quadratic function: f(x) = -2 (x + 2)² - 4
Answer:
Step-by-step explanation:
The midpoint is the point that bisects a line segment or divides it into 2 equal halves. The formula is essentially finding the average of the 2 points.
In this formula, (x₁, y₁) and (x₂, y₂) are the 2 endpoints of the line segment. For this problem, these are (5,4 ) and (-2, 1).
Substitute these values into the formula.
Solve the numerators.
Convert the fractions to decimals.
The midpoint of the line segment is (1.5 , 2.5)
0.25r-0.125+0.5r=0.5r
0.75r-0.125=0.5r
-0.125= -0.25r
r=0.5
Answer:
a≤39/5
Step-by-steep explanation:
60a+64≥80a−92
Step 1: Subtract 80a from both sides.
60a+64≥80a−92
-80a -80a
−20a+64≥−92
Step 2: Subtract 64 from both sides.
−20a+64≥−92
-64 -64
−20a≥−156
Step 3: Divide both sides by -20.
−20a≥−156
a≤39/5