Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). the vertex of a parabola is (-2, -20), and its y-intercept is (0, -12). the equation of the parabola is y =__x^2 +
__ x +

Step-by-step explanation:

Since the equation of parabola along x-axis is,

Where (h,k) is the vertex of the parabola and a is any point.

Here, The vertex of a parabola is (-2, -20),

Therefore the equation of parabola is,

Since, y-intercept is (0, -12),

Therefore, (0,-12) will satisfy the equation of the parabola,

By putting x=0 and y=-12 in the equation of parabola,

⇒ ( by adding 12 on both sides )

⇒ 8 = 4 a

⇒ a = 2 ( dividing by 4 on both sides )

Thus, the complete equation of parabola is,

⇒

⇒

⇒  

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have