Is Goblins free for teachers?

Yes. Goblins offers a generous free tier that includes 1 live feedback assignment per week, insights on student mastery and replays, and the ability to upload your own content. The Max plan adds unlimited assignments, superadaptive mode, grade exports, standards growth reports, and SSO/LMS integration, with per-student pricing for schools and districts.

How does Goblins work?

Three simple steps: (1) Share an assignment from thousands of standards-aligned topics using a share code. (2) Students speak and draw their thinking naturally, and Goblins responds with Socratic questioning that sounds just like their teacher. (3) Teachers get real-time formative insights showing what students struggle with and suggestions to inform instruction.

Does Goblins prevent cheating?

Yes. Goblins uses a purpose-trained AI model that evaluates cheating signals in real time. It can detect when students are copying answers, using external tools inappropriately, or not genuinely working through problems. Copy-pasting answers is also blocked.

Can I use my own voice with Goblins?

Yes. Teachers can record their voice and take a selfie to create a custom 3D avatar in about 30 seconds. Students then hear help in their own teacher's voice and see a familiar face, making the experience more personal and effective.

What math levels does Goblins cover?

Goblins covers math from Grade 5 through AP Calculus, including thousands of standards-aligned topics. Teachers can also upload their own content for custom assignments at any level.

Is Goblins FERPA compliant?

Yes. Goblins is FERPA and state compliant. Student data privacy and security are a top priority.

Does Goblins support English Language Learners?

Yes. Goblins supports 30+ languages so teachers don't have to translate every worksheet. It is especially helpful for ELL students who need accessible math instruction in their native language.

(+)-G.GPE.2

Explore the relationship among the parabola, focus, and directrix and use the equation to model a real-life situation, using technology as appropriate.

Example Problems

Write the equation for a parabola with a focus at

(4, 7)

and a directrix at

x = 0

Write the equation for a parabola with a focus at

(2, -1)

and a directrix at

x = -4

Write the equation for a parabola with a focus at

(11, -3)

and a directrix at

x = 5

Khan Academy Resources

Graphing quadratics review Intro to slope-intercept form Graphing slope-intercept form Intercepts of lines review (x-intercepts and y-intercepts)Graphing lines from slope-intercept form review Slope review Intercepts from an equation Graph quadratics in vertex form Graph parabolas in all forms Slope-intercept intro Intercepts from a graph Slope from two points Quadratic word problems (standard form)Graph from slope-intercept form Interpret parabolas in context Interpret a quadratic graph Graphing linear relationships word problems Features of quadratic functions Slope from equation Quadratic word problems (vertex form)Graph quadratics in factored form Parabolas intro Quadratic word problems (factored form)Intercepts from an equation Graph from slope-intercept equation Vertex & axis of symmetry of a parabola Finding the vertex of a parabola in standard form Worked example: slope from two points Slope of a horizontal line Interpreting a parabola in context Parabolas intro Linear functions word problem: pool x-intercept of a line Positive & negative slope Graphing quadratics in factored form Vertex form introduction Forms & features of quadratic functions Intro to slope-intercept form Intro to intercepts Graphing quadratics: vertex form Comparing features of quadratic functions Finding features of quadratic functions Linear functions word problem: fuel Graphing quadratics: standard form Intercepts from a table Intro to slope Interpret a quadratic graph

1-on-1 AI tutoring aligned to (+)-G.GPE.2. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →