Civil Discourse Answers

What are the key aspects of the graph of f(x) = x2 – b2, where b is a real number?

x = [___] and x = [___]

–10/3 –4/32/35/3

x2 + [___]x + [___] = 0

Sample Response: The graph will have opposite x-intercepts of b and –b and be symmetrical about the y-axis. The graph will have a y-intercept at –b2. What did you include in your response? Check all that apply.The x-intercepts are b and –b.The graph has opposite x-intercepts.The graph is symmetrical over the y-axis.The y-intercept is at –b2.

Which statement describes the graph of f(x) = 4x2 + 20x + 25?

Which function has zeros at x = −2 and x = 5?

A function f(x) has x-intercepts of –3 and –5. What is the constant term in the function? f(x) = x2 + 8x +

Zane is writing an opinion essay about the US military’s policy of "Don’t Ask, Don’t Tell.” Read his first paragraph.From 1994 until 2011, the US military had a policy known as "Don’t Ask, Don’t Tell.” Members of the LGBTQ+ community had already been forbidden from serving in the military. With this law, they still could be kicked out of the military if their identities became known. However, their superior officers could not ask them to confirm their identities either. So they were allowed to serve, but only if they hid an important part of themselves. In 1994, when President Bill Clinton signed the law, some people thought it was a victory for the LGBTQ+ community, but it was a harmful policy.

Which equation is true for x = –6 and x = 2?

Read the scenario:A student organization working to raise awareness about hate crimes against local Asian communities has $1,000 in their operating budget. Half of the group wants to use the money to run and promote a social media campaign. The other half wants to spend it on a large, in-person event.

Which function has real zeros at x = 3 and x = 7?

Read this excerpt from the goals of the Sunrise Movement.We grow our power through talking to our communities.We talk to our neighbors, families, religious leaders, classmates, and teachers, in order to spread our word. Our strength and work is rooted in our local communities, and we are always growing in number.-Principle 2, Sunrise Movement

Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Which equation represents the average of the x-intercepts for f(x) = 4x2 – 24x + 20?

The only solution of the equation x2 + bx + 16 = 0 is x = 4. What is the value of b?

A member of the March for Our Lives organization writes an editorial for his school newspaper about the need to fight gun violence in schools. What is a piece of evidence he could use to support his argument?

An equation has solutions of m = –5 and m = 9. Which could be the equation?