Each equation given below describes a parabola. which statement best compares their graphs?

x=2y^2 x=8y^2

a. both parabolas open upward, and x=2y^2 is wider than x=2y^2.
b. both parabolas open upwards, and x=8y^2 is wider than x=2y^2.
c. both parabolas open to the right, and x=8^2 is wider than x=2y^2.
d. both parabolas open to the right, and x=2y^2 is wider than x=8y^2

The correct answer is D. Both parabolas open to the right, and x=2y^2 is wider than x=8y^2

Step-by-step explanation:

We can tell this since it is an x = equation, then it must open to the right of left. Since they are both positive, it would be the right.

Secondly, as the coefficient gets higher, the lines get steeper. Therefore, we know that 8 is steeper than 2 and is less wide.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.