y = x² is the parent function of a parabola opens up and has a vertex at (negative 1, negative 2)
<h3>What is the standard equation of a parabola ?</h3>
The standard equation of a parabola is given by
y =a(x-h)² +k
Vertex at h , k
It is given that It has to be chosen from the options that whose parent function is
y = x²
As the plot of the first option is done , which is shown in the figure ,
The parabola is given by
y = (x +1)² +2
and the parent function is y = x²
Therefore the Option 1 is the answer.
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Answer:
Step-by-step explanation:
All we need to do here is to employ the point-slope formula for the equation of a straight line: y - k = m(x - h). Here h = 3, k = 7 and m = 2. After substituting these values into y - k = m(x - h), we get:
y - 7 = 2(x - 3) (point-slope form)
This is perfectly adequate/correct, but it can be simplified into slope-intercept form y = mx + b:
y = 2x - 14 + 21, or
y = 2x + 7 Clearly, the y-intercept is 7 and the slope is 2. This is the slope-intercept form.
To graph this line, let x = 0. Then the y-intercept is (0, 2). Plot this. Next, find the x-intercept: Let y = 0 and solve the resulting equation for x:
0 = 2x + 7, or 2x = -7, or x = -7/2. Plot this (-7/2, 0). Finally, draw a line through these two points (0, 2) and (-7/2, 0).
There are 9 toy trucks in each group.
27 divided by 3 is 9. Therefore when you divide the trucks up in EQUAL groups the answer has to be 9.
(-2.3, 4.7) & (-1.5, 6.2)
X1. Y1. X2. Y2
M= <u> Y2 - Y1 </u> = <u>6.2 - 4.7 </u>
X2 - X1 -1.5 - (-2.3)
M= <u>6.2 - 4.7 </u> = <u>10.7</u> = 13.375 = 13.4
<u> </u>-1.5 + 2.3 0.8
Answer:
2
Step-by-step explanation:
Let f(x) = 2x – 1
Substitute (x + b) in place of x.
f(x + b) = 2(x + b) – 1
= 2x + 2x –1
To find :
(Cancel common term)
Hence,