1. Create a graph of the pH function. Locate on your graph where the pH value is 0 and where it is 1. You may need to zoom in on your graph.
<span>The pH value is 1 at the orange dot, and is 1 at the red dot. </span>
<span>The transformation p(t+1) results in a y-intercept. </span>
<span>In this graph, the blue line is the original and first parent function p(t) = –log10 t. The pink line represent p(t) + 1, the transformation shifts up the y-axis by 1, but the p(t) + 1 transformation does not result in a y-intercept like the ones prior. The gold line represents p(t +1), which shifts horizontally by 1 to the left. This does result in a y-intercept, because the graph doesn't completely flip over the line to the other side, and the green line represents -1*p(t), which causes the graph to flip upside down, and doesn't end up as a y- intercept.</span>
Answer:
y = 1/4x +7
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 1/4 x +b
Substitute the point into the equation
8 = 1/4(4) +b
8 = 1 +b
Subtract 1 from each side
8-1 =b
7 =b
y = 1/4x +7
Answer:
A. y - 7 = -4(x + 2)
Step-by-step explanation:
Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, <em>y - y₁ = m(x - x₁)</em><em>,</em><em> </em>all the negative symbols give the OPPOSITE term of what they really are. In addition, I recall that perpendicular lines have OPPOSITE <em>MULTIPLICATIVE INVERSE </em>[<em>RECIPROCAL</em>] <em>rate of changes</em> [<em>slopes</em>], so -4 really should be replaced with ¼, but if your assignment says otherwise, then this is the answer.
Step-by-step explanation:
You have to take the decimals to whole number my multiplying it in tens, and then divided by the number of multiples you multiplied it by, also in tens.
After these, take. the square root of the resulting fraction
Answer: D) reflection across y = -x
Explanation:
When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).
When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is 
So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).
Similarly, B(1,5) moves to B ' (-5, -1)
Finally, C(6,9) becomes C ' (-9, -6)