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If the equation
y=2(1.5)^(x) is graphed in the
xy-plane, what are the coordinates of its
y-intercept?
Choose 1 answer:
(A)
(0,0)
(B)
(0,1.5)
(c)
(0,2)
(D)
(0,3)

If the equation $y=2(1.5)^{x}$ is graphed in the $x y$ -plane, what are the coordinates of its $y$ -intercept? $\newline$ Choose $1$ answer: $\newline$ (A) $(0,0)$ $\newline$ (B) $(0,1.5)$ $\newline$ (C) $(0,2)$ $\newline$ (D) $(0,3)$

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Find properties of a parabola from equations in general form

Full solution

Q. If the equation

y=2(1.5)^{x}

is graphed in the

x y

-plane, what are the coordinates of its

y

-intercept?

\newline

Choose

1

answer:

\newline

(A)

(0,0)

\newline

(B)

(0,1.5)

\newline

(C)

(0,2)

\newline

(D)

(0,3)

Identify y-intercept: Identify the y-intercept of the graph. $\newline$ The y-intercept occurs where the graph crosses the y-axis, which is when $x=0$ .
Substitute $x=0$ : Substitute $x=0$ into the equation to find the y-coordinate of the y-intercept. $\newline$ $y = 2(1.5)^{(0)}$
Calculate y: Calculate the value of y when $x=0$ . $\newline$ $y = 2(1)$ because any number raised to the power of $0$ is $1$ . $\newline$ $y = 2 \times 1$ $\newline$ $y = 2$
Combine coordinates: Combine the value of $x$ and $y$ to get the coordinates of the y-intercept. $\newline$ The coordinates of the y-intercept are $(0, y)$ . $\newline$ Since $y=2$ when $x=0$ , the coordinates are $(0, 2)$ .

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