What are the coordinates of the y-intercept? (-8, 3) and (-3, -4.5)
1 answer:
Based on the calculations, the coordinates of the y-intercept are (0, -9).
<h3>What is the y-intercept?</h3>In Mathematics, the y-intercept of any graph (parabola) occurs at the point where the value of "x" is equal to zero (0). Similarly, the x-intercept refers to the point at which the graph of a function crosses the x-axis and the value of "y" is equal to zero (0).
<h3>How to calculate the slope of a line?</h3>Mathematically, the slope of any straight line can be calculated by using this formula;
Substituting the given parameters into the formula, we have;
Slope, m = (-4.5 - 3)/(-3 + 8)
Slope, m = -7.5/5
Slope, m = -1.5.
Mathematically, the standard form of the equation of a straight line is given by;
y - y₁ = m(x - x₁)
At point (-8, 3), we have:
y - 3 = -1.5(x + 8)
y - 3 = -1.5x - 12
y = -1.5x - 12 + 3
y = -1.5x - 9
Therefore, the coordinates of the y-intercept are (0, -9).
Read more on slope and y-intercept here: brainly.com/question/24787293
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Answer:
C
Step-by-step explanation:
The red graph is the graph of y = f(x) shifted 1 unit right and then reflected in the x- axis.
Given y = f(x) then f(x + a) is a horizontal translation of a units
• If a > 0 then shift to the left of a units
• If a < 0 then shift to the right of a units
Here shift to the right of 1 unit, thus
y = f(x - 1)
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
Note the y- coordinates are the negative of each other, thus
- y = f(x)
Now = - y, hence
The equation for the red graph is
= f(x - 1) → C