Answer:
<h2>SEE BELOW</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>let's solve:</h3>
vertex:(h,k)
therefore
vertex:(-1,4)
axis of symmetry:x=h
therefore
axis of symmetry:x=-1
- to find the quadratic equation we need to figure out the vertex form of quadratic equation and then simply it to standard form i.e ax²+bx+c=0
vertex form of quadratic equation:
therefore
- y=a(x-(-1))²+4
- y=a(x+1)²+4
it's to notice that we don't know what a is
therefore we have to figure it out
the graph crosses y-asix at (0,3) coordinates
so,
3=a(0+1)²+4
simplify parentheses:

simplify exponent:

therefore

our vertex form of quadratic equation is
let's simplify it to standard form
simplify square:

simplify parentheses:

simplify addition:

therefore our answer is D)y=-x²-2x+3
the domain of the function

and the range of the function is

zeroes of the function:




factor out x and -1 respectively:

group:

therefore

Answer: last one
Step-by-step explanation:
Answer:
L = w+2
L+w = 60
W+2+w = 60
2w+2 = 60
W+1 = 30
W = 29
L = 31
Answer:
4 4/5
Step-by-step explanation:
The prove that the equation can be verified using the laws of exponents.
<h3>What is the proof of the equation given; 2^(2x+4)= 16 × 2^(2x)?</h3>
It follows from the task content that the equation given is; 2^(2x+4)= 16 • 2^(2x).
It follows from the laws of indices ; particularly, the product of same base numbers.
The evaluation is therefore as follows;
2^(2x+4)= 16 • 2^(2x)
2^(2x) • 2⁴ = 16 • 2^(2x)
2^(2x) • 16 = 16 • 2^(2x)
Hence, since LHS = RHS, it follows that the expression is mathematically correct.
Read more on laws of exponents;
brainly.com/question/847241
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