All on this following problem would be greatly appreciated! identify the vertex, axis of symmetry, maximum or minimum, and domain and range of the following function. f(x) = 2 (x + 9)² − 4

The equation is written in vertex form. This lets you read the answers to the questions from the equation by matching it to the pattern ...

... y = a(x -h)² +k

where (h, k) is the vertex, and the sign of "a" tells you whether the curve opens upward or downward.

In your equation, a=2, h= -9, k= -4.

This means the vertex is (-9, -4).

The axis of symmetry is the vertical line through the vertex, x = -9.

The sign of "a" is positive, meaning the curve opens upward and the vertex is a minimum (the low end of the range).

As with all polynomials, the domain is all real numbers.

The y-value at the vertex is -4, so the range is all real numbers greater than or equal to -4.

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~

step-by-step explanation: