FiltersDone

Question type

Essay

Multiple Choice

Short Answer

True False

Matching

Exam 3: Quadratic Functions

Show Answer

Share

---

All types

Filters

Study Flashcards

Question 21

Short Answer

Review LaterAdd Note

Review Later

A relief package is dropped from an airplane and falls to the ground along a parabolic path, starting at the vertex of the parabola. The package was released when the plane was directly above a marker at a height of 5 kilometers, and the package hits the ground 4.63 kilometers from the marker. If $h$ is the height of the package when it is a horizontal distance $d$ from the marker, the equation for $h$ in terms of $d$ is given by $h(d)=a d^{2}+b d+c$ , where $a=\ldots, b=\ldots$ , and $c=\ldots$ . Round any decimals to 3 places.

Correct Answer

verified

Part A: -0...

View Answer

Show Answer

Question 22

Multiple Choice

Review LaterAdd Note

Review Later

Suppose $g(x) =4 x^{2}-7 x$ . What is $g(x+h)$ ?

A) $4 x^{2}+(8 h+7) x+\left(4 h^{2}+7 h\right)$
B) $4 x^{2}+(8 h-7) x+\left(4 h^{2}-7 h\right)$
C) $4 x^{2}-(4 h-7) x-\left(4 h^{2}-7 h\right)$
D) $4 x^{2}+7 x+h$

E) B) and D)
F) All of the above

Correct Answer

verified

Show Answer

Question 23

Multiple Choice

Review LaterAdd Note

Which of the following quadratic functions have zeros at $x=-4$ and $x=1$ ?

Convert the quadratic function $y=x^{2}+10 x+28$ to vertex form. Identify the vertex and the axis of symmetry.

A projectile's height $h(t)$ above ground in feet is a quadratic function of time $t$ in seconds since launched. Three values of the function are given in the table below. What is the maximum number of feet above the ground that the projectile reaches?

Find a formula in terms of $f(x) =x^{2}$ for $g(x) =x^{2}+6 x+2$ .

Is the graph of $y=4(6-4 x)(x-4)$ concave up or concave down?

The formula for the following parabola is $f(x)=a(x-h)^{2}+k$ , where $a=$ -------- $h=$ --------- , and $k=$ -------- Note: Figure is not necessarily drawn to scale.

For $f(x)=x^{2}$ , does $f\left(\frac{4}{7}\right)=\frac{f(4)}{f(7)}$ ?

The height of an object above the ground is described by the function $f(t)=2.3 t^{2}-14 t+4$ . a) What is the initial height of the object at time $t=0$ ? b) When does the object have height 2 ?

The vertex form of $f(x)=x^{2}+4 x-1$ is $f(x)=(x+a)^{2}-b$ , where $a=$ ----------- and $b=$ ------------

A projectile's height $h(t)$ above ground is a quadratic function of time $t$ in seconds since launched. Three values of the function are given in the table below. How many seconds does it take for the projectile to hit the ground?

Find the zeros of $Q(r)=2 r-15+r^{2}$ by factoring. List the answers in the form "A, $\mathrm{B}$ ", with $\mathrm{A}<\mathrm{B}$ .

Suppose a farmer has 160 feet of fence and he wants to enclose a pasture with a rectangular boundary. There is already fencing along one side of the field that he wants to enclose, so he will only need to fence 3 sides of the new field. What are the dimension of the field that will give maximum area.

Solve $3.2 x^{2}-4.5 x=6.5$ by the quadratic formula. Round your answers to 2 decimal places. List the answers in the form "A, B", with $\mathrm{A}<\mathrm{B}$ .

The graph of $r(t)=4 t^{2}-40 t+104$ has vertex (---------,--------- ) and axis of symmetry $x=$ --------

How many distinct real roots does the function $y=x^{2}-4 x+7$ have?

The following figure gives the graph of $y=f(x)$ , a quadratic function with vertex (3, 2). The formula for $f(x)$ is $y=a(x-b)^{2}+c$ , where $a=$ ---------- $b=$ ----------- , and $c=$ ------------

Select the quadratic functions that are concave upward.

Which of the following quadratic functions have zeros at $x=6$ and $x=-6$