sunshine022uv

2021-12-22

Explain how to find the vertex of a parabola in standard form.

recoronarrv

Beginner2021-12-23Added 20 answers

The standard form of a parabola: $y=a{x}^{2}+bx+c$ , where $a\ne 0$

The vertex is the minimum or maximum point of a parabola. If$a>0$ , the vertex is the minimum point and the parabola opens upward. If $a<0$ , the vertex is the maximum point and the parabola opens downward.

If you want to find a vertex, you need to find the x- and y-coordinates.

The formula for the axis of symmetry and the x-coordinate of the vertex:$x=\frac{-b}{2a}$

To find the y-coordinate of the vertex, substitute the value for x into the equation and solve it for y.

$y=a{\left(\frac{-b}{2a}\right)}^{2}+b\left(\frac{-b}{2a}\right)+c$

The vertex is the minimum or maximum point of a parabola. If

If you want to find a vertex, you need to find the x- and y-coordinates.

The formula for the axis of symmetry and the x-coordinate of the vertex:

To find the y-coordinate of the vertex, substitute the value for x into the equation and solve it for y.

Melissa Moore

Beginner2021-12-24Added 32 answers

When the axis and the perpendicular tangent at the vertex $V(\alpha ,\beta )$ are parallel to the coordinate axes, the standard form is:

${(y-\beta )}^{2}=\pm 4a(x-\alpha )$ or ${(y-\alpha )}^{2}=\pm 4a(x-\beta )$

user_27qwe

Skilled2021-12-30Added 375 answers

The vertex of a parabola is the point where the parabola crosses its axis of symmetry. If the coefficient of the x^{2} term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape. If the coefficient of the x^{2} term is negative, the vertex will be the highest point on the graph, the top of the "U "-shape.

Find the volume V of the described solid S

A cap of a sphere with radius r and height h.

V=??

Whether each of these functions is a bijection from R to R.

a) $f(x)=-3x+4$

b) $f\left(x\right)=-3{x}^{2}+7$

c) $f(x)=\frac{x+1}{x+2}$

?

$d)f\left(x\right)={x}^{5}+1$In how many different orders can five runners finish a race if no ties are allowed???

State which of the following are linear functions?

a.$f(x)=3$

b.$g(x)=5-2x$

c.$h\left(x\right)=\frac{2}{x}+3$

d.$t(x)=5(x-2)$ Three ounces of cinnamon costs $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

A square is also a

A)Rhombus;

B)Parallelogram;

C)Kite;

D)none of theseWhat is the order of the numbers from least to greatest.

$A=1.5\times {10}^{3}$,

$B=1.4\times {10}^{-1}$,

$C=2\times {10}^{3}$,

$D=1.4\times {10}^{-2}$Write the numerical value of $1.75\times {10}^{-3}$

Solve for y. 2y - 3 = 9

A)5;

B)4;

C)6;

D)3How to graph $y=\frac{1}{2}x-1$?

How to graph $y=2x+1$ using a table?

simplify $\sqrt{257}$

How to find the vertex of the parabola by completing the square ${x}^{2}-6x+8=y$?

There are 60 minutes in an hour. How many minutes are there in a day (24 hours)?

Write 18 thousand in scientific notation.