Answer:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>
Answer:
-15/4 > -3 3/8
Step-by-step explanation:
I converted -15/4 into a mixed number with a denominator of 8. First, I made it a mixed number (-3 1/4) and then I converted it to eighths (-3 2/8). Compared to -3 3/8, -15/4 is larger.
For this case we must solve the following system of equations:
We clear x of both equations:
We match:
We find the value of "x":
Thus, the solution of the system is:
Answer:
Answer:
x+4y=8
Step-by-step explanation:
graph shown below
