Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two g
2 answers:
Answers:
Ava’s graph is a vertical translation of f(x) = x^2.
Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.
Ava’s graph has a y-intercept of 4.
Given:
Ava graphs the function .
Victor graphs the function
To find y intercept we plug in 0 for x
= 4
So ,Ava’s graph has a y-intercept of 4.
Ava graphs the function
If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.
Hence , Ava’s graph is a vertical translation of f(x) = x^2. Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.
Victor graphs the function
If any number added with x then the graph will be shifted left. the graph will be shifted in negative x direction.
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To answer this, we will need to know:
• The slope of the equation we are trying to get
• The point it passes through using the
First, we will need to find the slope of this equation. To find this, we must simplify the equation
into 
form. Lets do it!
=
(Subtract 3x from both sides)
=
(Divide both sides by 5)
The slope of a line perpendicular would have to multiply with the equation we just changed to equal -1. In other words, it would have to equal the negative reciprocal.
The negative reciprocal of the line given is
.
Now that we know the slope, we have to find out the rest of the equation using the slope formula, which is:
Substituting values, we find that:
By simplifying this equation to slope-intercept form (By cross-multiplying then simplifying), we then get that:
, which is our final answer.
Thank you, and I wish you luck.
• The slope of the equation we are trying to get
• The point it passes through using the
First, we will need to find the slope of this equation. To find this, we must simplify the equation
=
=
The slope of a line perpendicular would have to multiply with the equation we just changed to equal -1. In other words, it would have to equal the negative reciprocal.
The negative reciprocal of the line given is
Now that we know the slope, we have to find out the rest of the equation using the slope formula, which is:
Substituting values, we find that:
By simplifying this equation to slope-intercept form (By cross-multiplying then simplifying), we then get that:
Thank you, and I wish you luck.
Answer: The area of the triangle is 24 square inches
Step-by-step explanation:
Hi, since the 2 triangles form a parallelogram ( see attachment) we have the base and height of the triangles, we have to apply the next formula:
Area of a triangle; (base x height) /2
Replacing with the values:
A = (8x6 )/2
A = 48 /2
A = 24 square inches
The area of the triangle is 24 inches
Feel free to ask for more if needed or if you did not understand something.
