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The equation
y=2x^(2)-7x+1 is graphed in the
xy-plane. What is the
y-intercept of the graph?
Choose 1 answer:
(A) -1
(B) 1
(c) 2
(D) 7

The equation $y=2 x^{2}-7 x+1$ is graphed in the $x y$ -plane. What is the $y$ -intercept of the graph? $\newline$ Choose $1$ answer: $\newline$ (A) $-1$ $\newline$ (B) $1$ $\newline$ (C) $2$ $\newline$ (D) $7$

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Find properties of a parabola from equations in general form

Full solution

Q. The equation

y=2 x^{2}-7 x+1

is graphed in the

x y

-plane. What is the

y

-intercept of the graph?

\newline

Choose

1

answer:

\newline

(A)

-1

\newline

(B)

1

\newline

(C)

2

\newline

(D)

7

Identify y-intercept: Identify the y-intercept on the graph of the equation. $\newline$ 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-intercept. $y = 2(0)^2 - 7(0) + 1$ $y = 0 - 0 + 1$ $y = 1$
Verify calculation: Verify the calculation for any mathematical errors. $\newline$ The calculation is straightforward with no operations other than substitution and basic arithmetic, so there is no math error.

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Question

y=(x-3)(x+9)

\newline

The given equation is graphed in the

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Question

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