Identify the y-intercept and the axis of symmetry for the graph of f(x) = 10x^2 + 40x + 42. a
42; x = 4
b
42; x = –2
c
–42; x = 2
d
0; x = –4

The option 'b' is correct.

Step-by-step explanation:

Given the function

Determining the y-intercept

The y-intercept can be obtained by setting the value x = 0

Therefore, the y-intercept is:

Determining the axis of symmetry

Given the equation

For a parabola in standard form

the axis of symmetry is the vertical line that goes through the vertex

so

The  axis of symmetry for  is

Therefore, the option 'b' is correct.