Two functions are given below: f(x) and h(x). state the axis of symmetry for each function and explain how to find it.

Step-by-step explanation:

In each case, the axis of symmetry is the vertical line through the vertex.

For f(x)

The equation is in vertex form:

  f = a(x -h)² +k . . . . has vertex (h, k)

The x-coordinate of the vertex can be read from the equation: 4. The vertical line with that x-coordinate is ...

  x = 4

__

For h(x)

The vertex is the point where the graph reaches a maximum, (-2, 2). The vertical line with that x-coordinate is ...

  x = -2

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm