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Use the figure to complete each part.
(a) Write two other names for
/_RQS.
RSQ and
SQR
(b) Name the vertex of
/_SQT.
T
(c) Name the sides of
/_1.

◻ and
◻

Use the figure to complete each part. $\newline$ (a) Write two other names for $\angle R Q S$ . $R S Q$ and $S Q R$ $\newline$ (b) Name the vertex of $\angle S Q T$ . $\newline$ T $\newline$ (c) Name the sides of $\angle 1$ . $\newline$ $\square$ and $\square$

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Convert equations of parabolas from general to vertex form

Full solution

Q. Use the figure to complete each part.

\newline

(a) Write two other names for

\angle R Q S

.

R S Q

and

S Q R

\newline

(b) Name the vertex of

\angle S Q T

.

\newline

T

\newline

(c) Name the sides of

\angle 1

.

\newline

\square

and

\square

Identify vertex form: Identify the vertex form of a parabola, which is $y = a(x - h)^2 + k$ .
Given equation analysis: Look at the given equation $y = x^2 - 10x + 25$ . Notice that the constant term is $25$ .
Calculate half square: Calculate the square of half the linear coefficient: $(-\frac{10}{2})^2 = (-5)^2 = 25$ .
Recognize perfect trinomial: Recognize that the right side of $y = x^2 - 10x + 25$ is a perfect square trinomial because the constant term is the square of half the linear coefficient.
Rewrite in vertex form: Rewrite the equation in vertex form by completing the square: $y = (x - 5)^2$ .

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What is the focus of the parabola

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\newline

Simplify any fractions.

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(_____ , _____)

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Question

In which direction does the parabola

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\newline

\text{up}

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What is the vertex of the parabola

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\newline

(\_,\_)

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Question

What is the axis of symmetry of the parabola

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Question

In which direction does the parabola

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\newline

\newline

\text{[A]up}

\newline

\text{[B]down}

\newline

\text{[C]right}

\newline

\text{[D]left}

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\newline

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Question

The equation of a circle is

x^{2}+(y+4)^{2}=1

. What are the center and radius of the circle?

\newline

1

\newline

(A) The center is

(-4,0)

and the radius is

1

\newline

(B) The center is

(4,0)

and the radius is

1

\newline

(C) The center is

(0,4)

and the radius is

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(D) The center is

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Question

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

\newline

The given equation is graphed in the

x y

-plane. Which of the following are

x

-intercepts of the graph?

\newline

1

\newline

-3

-9

\newline

-3

9

\newline

3

-9

\newline

3

9

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Question

y=2 x^{2}-5 x+7

is graphed in the

x y

-plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation?

\newline

1

\newline

x

\newline

y

\newline

x

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\newline

y

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