Question

100 points!!please give me the right answer

The functions f(x) = −(x − 1)2 + 5 and g(x) = (x + 2)2 − 3 have been rewritten using the completing-the-square method. Apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.

Answer 1

Answer:

For   $f(x)=-(x-1)^2+5$

(1, 5) is the vertex and it is a maximum

For  $g(x)=(x+2)^2-3$

(-2, -3) is the vertex and it is a minimum

Step-by-step explanation:

$f(x)=-(x-1)^2+5$  and  $g(x)=(x+2)^2-3$

Vertex form of a parabola’s equation: $y = a(x-h)^2+k$

• $(h, k)$ is the vertex
• If $a$ is positive, then the curve is a "U" shape and the vertex is a minimum
• If $a$ is negative, then the curve is a "n" shape and the vertex is a maximum

Therefore, for   $f(x)=-(x-1)^2+5$

(1, 5) is the vertex and it is a maximum as $a$ is negative

For  $g(x)=(x+2)^2-3$

(-2, -3) is the vertex and it is a minimum as $a$ is positive

Answer 2

Answer:

The vertex of the function f(x) is (-1,-5), the vertex of the function g(x) is (2,3), and the vertex of the function f(x) is minimum and the vertex of the function g(x) is maximum.

explanation:

hope this helps! pls brainliest :D