When graphed, which parabola opens downward?
a. y = –3x2
b. y = (x – 3)2
c. y= 1/3x2
d. y = x2 – 3

Keywords:

quadratic function, quadratic term, positive coefficient, negative coefficient, parabola

For this case we have a quadratic function of the form , where . By definition, if the coefficient that accompanies the quadratic term of the equation is negative, the parabola open down. On the other hand, if the coefficient that accompanies the quadratic term of the equation is positive, the parabola opens upwards.

That said, we fear that is a function with the coefficient of the negative quadratic term, and therefore the parabola opens downwards.

Option A

00

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).