y = -
(x - 5)² + 4
the equation of a quadratic in standard form is
y = a(x - h)² + k ( where (h , k ) are the coordinates of the vertex and a is a multiplier )
given vertex = ( 5, 4 ) then
y = a(x - 5)² + 4 ( to find a substitute (7 , 1 ) into the equation )
1= 4a + 4
4a = - 3 ⇒ a = - 
y = -
(x - 5)² + 4 ← ( in vertex form )
Perimeter can be found by the formula : Perimeter = 2L + 2 W
Perimeter = 2L + 2 W
Perimeter = 2(2a) + 2(a + 1) . ← Option 4
Perimeter = 4a + 2a + 2
Perimeterr = 6a + 2 ← Option 5
Perimeter can also be found by simply adding up all the 4 sides:
Perimeter = L + W + L + W
Perimeter = L + W + L + W
Perimeter = 2a + a + 1 + 2a + a + 1 ← Option 3
Perimeter = 3a + 1 + 3a + 1 ← Option 1
Answer: Option 1, 3, 4 and 5 are correct.
A function assigns the values. The value of f(2) is 9.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given the function f(x)=(x+1)², therefore, the value of f(2) can be found by substituting the value of x as 2 in the given function,
f(2) = (2+1)²
f(2) = 3²
f(2) = 9
Hence, the value of f(2) is 9.
Learn more about Function:
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