k = 5
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Since the coefficient of the x² term is 1 then
add/ subtract (half the coefficient of the x-term )² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 + 14 = (x - 3)² + 5 → k = 5
3x - 15
less than or more than trick-------> the number before those words should be the second number in the equation
Substitution method can be applied in four steps
Step 1:
Solve one of the equations for either <span>x = </span>or y = .
Step 2:
Substitute the solution from step 1 into the other equation.
Step 3:
Solve this new equation.
Step 4:
Solve for the second variable.
hope this helps you!
Answer:
(a) Domain: x > 4
(b) Range: y < -2
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
Range is the set of y-values that can be outputted by function f(x).
We see that our x-values span from 4 to infinity. Since it is an open dot, we cannot include it in our domain:
(-4, ∞)
We also see that our y-values span from -2 to negative infinity. Since it is an open dot, we cannot include it in our range:
(-∞, -2)
Answer:
23
Step-by-step explanation: hope this helps
