Answer:
B) The base graph has been reflected about the y-axis
Step-by-step explanation:
We are given the function, .
Now, as we know,
The new function after transformation is .
<em>As, the function f(x) is changing to g(x) = f(-x)</em> and from the graph below, we see that,
The base function is reflected across y-axis.
Hence, option B is correct.
Answer:
y = x +
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
To calculate the slope use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)
m = =
, hence
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (5, 7 ), then
7 = + c ⇒ c = 7 -
=
y = x +
← equation in slope-intercept form